Hi. The post apocalyptic part with grungy aesthetic sounds good.
But, just to be clear, are you going to defend racist, sexist, homophobic or fascist ideas in your game as that ideology seems to do?
Viewing post in Anarchist Representation
It'll be less "me defending it" as in I believe in it, and more "me defending it", as in this is the ideology of the setting and how it's radically different from life today.
It's all conceptual right now. But it'll probably include multiple factions for the players so you're not pigeon-holed into something they don't like.
Relating those ideas with anarchism makes me really sad. Also shows not much knowleadge about anarchism, here is a webpage with tons of literature if you are curious https://theanarchistlibrary.org/special/index.
Don't let the snake-tards poison your vision about anarchism.