Question: The 9th Amphibian Tractor Battalion was integral to the Pacific War battle nicknamed what?

Context paragraphs:
9th Battalion, Royal Queensland Regiment: The 9th Battalion, Royal Queensland Regiment (9 RQR) is a Reserve light infantry battalion of the Australian Army, raised and based in the state of Queensland.  It is part of the Royal Queensland Regiment and is currently attached to the 11th Brigade of the 2nd Division.  9 RQR can trace its history as far back as 1867 with the establishment Queensland Volunteer Rifle Corps, although it was not until 1911 that it was designated as the "9th Battalion".  Over the course of its history, the battalion has served Australia in a number of conflicts including The Boer War, World War I and World War II, while more recently, members of the battalion have been involved in various peacekeeping operations and exercises around the Pacific region.

9th Amphibian Tractor Battalion: The 9th Amphibian Tractor Battalion ("9th Amtrac Battalion") is an inactive amphibious assault battalion of the United States Marine Corps.  The battalion supported the 6th Marine Division during the Battle of Okinawa in World War II.

3rd Battalion, 9th Marines: The 3rd Battalion, 9th Marines (3/9) is an infantry battalion of the United States Marine Corps.  Formed during World War I it served until the early 1990s when it was redesignated as 3rd Battalion, 4th Marines (3/4) during a realignment and renumbering of the Marine Corps' infantry battalions, following the deactivation of the 9th Marine Regiment.  The 3rd Battalion, 9th Marines was initially a subordinate unit of the 9th Marine Regiment, 3rd Marine Division, but was later operationally transferred to the 1st Marine Division as a subordinate unit of the 7th Marine Regiment where it remained until its redesignation as 3/4.

9th Battalion, Royal Australian Regiment: The 9th Battalion, Royal Australian Regiment (9 RAR) was a Regular light infantry battalion of the Australian Army.  The battalion was raised in November 1967 and deployed to South Vietnam as part of Australia’s commitment to the Vietnam War in November 1968.  9 RAR served a yearlong tour of duty based out of Nui Dat conducting operations mainly in Phuoc Tuy Province as part of the 1st Australian Task Force.  The Battalion returned to Australia in November 1969 and was reformed at Enoggera, Queensland in January 1970 as part of the 6th Task Force, attached to the 1st Division.  On 31 November 1973, following the withdrawal of Australian forces from South Vietnam and subsequent reduction of the Australian Army, the battalion was linked with the 8th Battalion, Royal Australian Regiment (8 RAR) to form the 8th/9th Battalion, Royal Australian Regiment (8/9 RAR).

Battle of Okinawa: The Battle of Okinawa (Japanese: 沖縄戦 , Hepburn: Okinawa-sen ) (Okinawan: 沖縄戦 , "Uchinaa ikusa " ), codenamed Operation Iceberg, was a major battle of the Pacific War fought on the island of Okinawa by United States Marine and Army forces against the Imperial Japanese Army and included the largest amphibious assault in the Pacific War during World War II, the April 1, 1945, invasion of Okinawa itself.  The 82-day battle lasted from April 1 until June 22, 1945.  After a long campaign of island hopping, the Allies were planning to use Okinawa, a large island only 340 mi away from mainland Japan, as a base for air operations for the planned invasion of the Japanese home islands.

2/26th Battalion (Australia): The 2/26th Battalion was an infantry battalion of the Australian Army.  Raised in late 1940 for service during the Second World War, the battalion undertook garrison duties in Malaya and Singapore prior to the start of the Pacific War.  In 1941–42, following the Japanese invasion of Malaya, the battalion fought during the Malayan campaign.  After the fall of the island, however, a large number of men from the battalion became prisoners of war, remaining in captivity until being liberated at the end of the war in 1945.  The battalion was never re-raised.

747th Tank Battalion (United States): The 747th Tank Battalion was an independent tank battalion that participated in the European Theater of Operations with the United States Army in World War II.  It was credited with an assault landing at Normandy, landing the morning after the initial D-Day landings (D+1).  The battalion participated in combat operations throughout northern Europe until V-E Day, primarily attached to the 29th Infantry Division.  After the war it was briefly engaged in occupation duties.  Redesignated the 747th Amphibian Tank Battalion on 10 July 1945, it was inactivated in March 1946.

36th Battalion (Australia): The 36th Battalion was an infantry battalion of the Australian Army.  It was originally raised in 1916 as part of the First Australian Imperial Force during World War I.  Throughout World War I the battalion served on the Western Front as part of the 9th Brigade, attached to the 3rd Division.  Due to heavy casualties amongst the AIF and a decrease in the number of replacements arriving from Australia in 1918, the battalion was disbanded before the war ended in order to reinforce other units in France.  The 36th Battalion was re-raised in 1921 as part of the Militia based in Sydney.  During World War II the battalion was attached to the 14th Brigade and was initially used in a defensive role as a garrison unit in Australia before being sent to New Guinea in 1942.  Throughout the course of the war in the Pacific, the 36th Battalion spent most of the 1942–45 period overseas in New Guinea and New Britain where they undertook operations against the Japanese.  In June 1945 they were returned to Australia and shortly afterwards the battalion was disbanded.

USS Enterprise (CV-6): USS "Enterprise" (CV-6), was the seventh U.S. Navy vessel to bear the name.  Colloquially called "the Big E", she was the sixth aircraft carrier of the United States Navy.  A "Yorktown"-class carrier, she was launched in 1936 and was one of only three American carriers commissioned before World War II to survive the war (the others being "Saratoga" and "Ranger" ).  She participated in more major actions of the war against Japan than any other United States ship.  These actions included the Attack on Pearl Harbor (18 dive bombers of VS-6 were over the harbor, 6 were shot down with a loss of eleven men, making her the only American Aircraft carrier with men at Pearl Harbor during the Attack and the first to receive casualties during the Pacific War), the Battle of Midway, the Battle of the Eastern Solomons, the Battle of the Santa Cruz Islands, various other air-sea engagements during the Guadalcanal Campaign, the Battle of the Philippine Sea, and the Battle of Leyte Gulf.  "Enterprise" earned 20 battle stars, the most for any U.S. warship in World War II, and was the most decorated U.S. ship of World War II, She is also the first American ship to sink an enemy vessel during the Pacific War, the sole surviving pilot of the six planes shot down over Pearl Harbor sank Japanese submarine I-70 on 10 December 1941.  On three occasions during the Pacific War, the Japanese announced that she had been sunk in battle, resulting in her being named "The Grey Ghost".

10th Battalion (Australia): The 10th Battalion was an infantry battalion of the Australian Army that served as part of the Australian Imperial Force during World War I. Among the first units raised in Australia during the war, the battalion was recruited from South Australia in August 1914 and along with the 9th, 11th and 12th Battalions, it formed part of the 3rd Brigade, 1st Division.  After its personnel completed basic training, the battalion embarked for the Middle East, where further training was undertaken in Egypt before the battalion was committed to the Gallipoli Campaign.  On 25 April 1915, the 10th Battalion took part in the Landing at Anzac Cove, coming ashore during the initial stages of the operation as part of the covering force.  Members from the 10th Battalion penetrated the furthest inland of any Australian troops during the initial fighting, before the Allied advance inland was checked.  After this, the battalion helped defend the beachhead against a Turkish counter-attack in May, before joining the August Offensive, a failed Allied effort to break the deadlock.  Casualties were heavy throughout the campaign and in November 1915, the surviving members were withdrawn from the peninsula and in early 1916 the battalion was reformed in Egypt.  After a period of reorganisation, during which the 10th provided a cadre staff to the newly formed 50th Battalion, it was transferred to the Western Front in March 1916, and for the next two-and-a-half years took part in trench warfare in France and Belgium until the Armistice in 1918.  The last detachment of men from the 10th Battalion returned to Australia in September 1919.

Supporting paragraphs: 9th Amphibian Tractor Battalion Battle of Okinawa
Answer: Operation Iceberg