This is obviously pulling out all the stops in an effort to be 'quirky', and not quite achieving it. Well, it's Wes Anderson, that's what he is for.
The central character, the 15-year old Max Fisher, is a remarkable young man with many extraordinary and frankly implausible achievements; but he is also a fantasist with a propensity to self-delusion (not least in the belief that he has a romantic relationship with a young female teacher at the school); and the film doesn't want to decide how much it is about the self-delusion and how much about the remarkable achievements. The fact that the first sequence, about young Max solving a very difficult problem in geometry, is quickly shown to be a fantasy/dream, but that almost none of the other equally implausible things in the film are meant to be taken as fantasy, adds to the confusion.
Incidentally, there is almost no politics in the film at all, and nothing about revolution, despite the poster. This looks like a poster for the subsequent and slightly better film 'The Trotsky', which does feature a high-school kid who believes himself to be a revolutionary, and is also quirky but...well, you know.
It's got good actors and characters, an interesting scenario, but the premise doesn't quite work.