Isn’t this just the story of the allied powers in World War Two repackaged into science fiction? The members were:

The British who were sort of friends with the Americans but regarded them as less civilized and less experienced in running a nation.

The French who literally fought the Hundred Years’ War against the English.

The Soviets who didn’t like any of those people and proceeded to argue with all of them thereafter.

The Americans who had existed for a little over a century, invented the nuke after winning a fight with a World power in an ascendant phase, and decided it was on them to guarantee World peace.