Write a realistic, plausible alternate history scenario in the form of a history book chapter completely set in the world of the alternate history secenario with absolutely no references to real life, OTL or that this is even an alternate history timeline at all, in which which the Ming dynasty and the Ming dynasty's reigning Imperial family, the Han Chinese Imperial House of Zhu, are restored in the Kuomingtang-ruled Nationalist China in exile on Taiwan and the Pengu Islands after the death of Nationalist China's second combined head of state and of Nationalist Chinese the armed forces, Chiang Kai Shek in 1975. 

Following the death of then-CCP chairman and the founding leader and fascist dictator of the People's Republic of China in 1976, the chaos following Mao's death causes Guangdong, Guangxi, Yunnan, East Turkestan, Tibet, Inner Mongolia,  Shaanxi and Central China along with Han China to all break away form the CCP's stronghold and powerbase of Manchuria. 

Han China soon reunites with the restored Ming dynasty in Nationalist China occupied Taiwan and the Pengu Islands but the restored Ming dynasty soon becomes a completely Han Chinese centric regime as Nationalist China is booted from both Taiwan and the Pengu Islands to the sixteen provinces of Han China proper, excluding Guangdong and Guangxi by Taiwanese Nationalist and Taiwanese independence Taiwanese Hoklo and other indigenous Taiwanese groups. 

After the complete expulsion of the restored Ming dynasty restored through Nationalist China from both Taiwan and the Pengu Islands to Han China, the restored Ming dynasty becomes a restored stratocratic, having a bicameral national legislature divided into a Senate and House of Representatives known as the National Assembly, Beiyang Government-ruled presidental parliamentary democratic republic of the first Republic of China, more specifically a restored modernized, contemporary version of the Beiyang Government's of the Republic of China's short lived stint as the unitary parliamentary constitutional Imperial Royal monarchy of the Empire of China formed by Yuan Shikai in 1915 but with the descendants of the Imperial House of Zhu as its reigning Imperial family instead of Yuan Shikai's descendants being formally enthroned as the latest reigning imperial family of China, due to pro-democracy, Maoist and anti-Kuomingtang influences in Han China. 

The restored Empire of China ruled by the Zhu descendants as its reigning Imperial family instead of Yuan Shikai's descendants in Han China still has the name "People's Republic of China" in English despite being called "Empire of China" in Traditional Chinese.  

Yuan Shikai's descendants are absorbed into the reenthroned Imperial House of Zhu in Han China via monogamous and polygamous intermarriage, concubinage and adoption after they [Yuan Shikai's descendants] give up their claims to the Chinese throne.

The CCP is soon overthrown in Manchuria and the Fengtian Clique is restored to power as the government of Manchuria, albiet with the descendants Qing Imperial family, the Manchu House of Aisin-Gioro in charge of the restored Fengtian Clique instead of the eldest son of the Fengtian Clique's last military dictator and warlord of Manchuria, the infamous "Young Marshal" Zhang Xueliang, [Xueliang's eldest son] the now 59 year old,  Zhang Lüxun, [Lüxun] taking up his [Lüxun's] still-alive father's [Lüxun's] position as combined warlord of Manchuria and military dictator of the Fengtian Clique or Xueliang returning to Manchuria to reclaim his positions of combined warlord of Manchuria and Generalissmo of the Fengtian Clique, with the descendants of the Imperial House of Aisin-Gioro who would have become Emperors of the Qing Empire had the Qing not fallen to the 1911-1912 Xinhai Revolution instead becoming the combined warlords of Manchuria and military dictators of the Fengtian Clique after its restoration in Manchuria in place of the Zhang family. 

The Manchu Qing Imperial court is hastily reconstructed in Manchuria after the death of Mao and then becomes the defacto government of the Fengtian Clique after the latter's restoration as the government of Manchuria.

Due to the Fengtian Clique being a faction/sub-branch of the Beiyang Government and thus sharing the name "Republic of China" in English with the Beiyang Government during the existence of both during the post-Xinhai and subsequent warlord period, the restored Beiyang Clique ruled by the reconstituted Qing Imperial court and the restored Empire of China ruled by the Zhu descendants as its reigning Imperial family instead of Yuan Shikai's descendants in Han China share the same problem. 

So the restored Beiyang Clique ruled by the reconstituted Qing Imperial court decides to call itself "the Manchurian State" and/or the "Manchurian Empire" in Manchu, Mongolian and Traditional Chinese. 

the restored Beiyang Clique ruled by the reconstituted Qing Imperial court becomes known as "North China" or simply Manchuria by Westerners while The restored Empire of China ruled by the Zhu descendants as its reigning Imperial family instead of Yuan Shikai's descendants in Han China becomes known as South China or simply the Chinese Empire to Westerners.

Shikai and later on Mao Zedong are portrayed as regents with the Beiyang Government of the Republic of China and the PRC simply being portrayed as regency states for the restoration of the Ming in Han China. In keeping with the CCP's anti Soviet and anti-Bolshevik Han nationalist stance Chiang Kai Shek and the Kuomingtang are portrayed as reactionary ursurpers backed by Josef Stalin who wanted to destroy the legitimate Chinese government and unite all the Qing Imperial territories under a Cantonese expansionist, Cantonese supremacist Stalinist dictatoral regime which would be backed by Soviet and American imperialism. 

The rump kingdom/satellite state/tributary state of the Ming dynasty based in southwestern Taiwan and the Pengu Islands, the Tungning Kingdom and the Tungning Kingdom's reigning royal family, the Royal House of Koxinga/Zheng dynasty are restored as the government of all of Taiwan and the Pengu Islands after the restored Ming dynasty is kicked out of both Taiwan and the Pengu Islands to Han China. 

Since the Royal House of Koxinga/Zheng dynasty is a sinicized, heavily Ming influenced side branch of the reigning imperial family of Japan, the supposedly Shinto-pantheon descended Japanese Imperial House of Great Yamato/Minamoto dynasty and the Japanese are always viewed more favorably than both the Kuomingtang and Nationalist China in Taiwan and the Pengu Islands, the restored Tungning Kingdom in Taiwan and the Pengu Islands pleads for the reannexation of both Taiwan and the Pengu Islands into Japan, which succeeds as neither the USA, the USSR or the Kuomingtang could prove the post-WW2 status of Taiwan and the Pengu Islands. 

The restored Tungning Kingdom remains the local government of once-again Japanese controlled Taiwan and the Pengu Islands. 
 
Chiang family loyalists among the Nationalist Chinese armed forces, intelligence services and government flee Taiwan and the Pengu Islands and later on Han China to Indochina, where they help topple the just recently formed Vietnamese communist government under Vietnam, help Laotian royalists defeat Laotian communists and unknowingly wipe out the Mao backed Khmer Rouge in Cambodia, preparing for an attack on the China region, starting by restoring the Republic of Vietnam in Vietnam as the government of all of Vietnam after the fall of the Vietnamese communist government.