It’s kind of a tale as old as time. If there’s a socially correct way to think, and at least two people, they’re inevitably going to disagree on which way that is at some point, and splinter into subfactions that hate each other. (Lemmy has examples of this already)

When this has happened before in politics specifically, liberal use of violent purges is the Nash equilibrium. If everyone with power but the great leader dies after a while, especially ones that dare contradict them, no enemy factions can organise.