I agree with the writer who says it sounds like it ought to have an organ accompaniment. There were several composers of synagogue music who did melodies like that. I used to have the music to a S'u shearim that only needs trumpets to be worthy of a DeMille movie. Actually it makes lovely concert music. Our shul and the Chabad shul near us both use a Yom Ze Michubad melody for Al Kein.
Problem is, it goes too fast to get the words out.
At camps they use the Marine Corps Hymn. Fine if you want your kids marching around the room. Melody I don't understand why everyone is so upset with the origin of the Aleinu melody. Borrowing melodies is an ancient tradition throughout the world. In fact, musicologists say the origin of the gregorian chant is sephardic religious music from medieval Spain.