Lots of reasons people can be at peace and still hate one another. Look around the world there are tons of examples. I’m not saying we’re best buds, just not actively killing each other. Hell, the existence of another nearby hostile power is a classic way this happens, which perfectly matches the hypothetical.

I personally think the idea of an instantaneous global revolution is totally ridiculous so I don’t find this answer very compelling. Even if global anarchy is achieved which is not a certain thing, there will be a period of transition, and some regions will transition faster than others.