Self-righteousness, violence, or tendencies to authoritarianism can be found on both left and right. But fascism means a certain kind of far-right populist politics, not just these attributes in isolation.

words do have definitions. every political direction can have authoritarian traits, still fascism is the extreme form of conservatism. So is communism as the extreme form of socialism, to compare it with left-wing words. The third political direction is liberalism that ultimately leads to anarchy (no state at all). Both American parties are in the area of liberal-conservative… as a European it simply looks like slightly rightwing (dems) and bordering fascist (reps).

Political classification is a complex topic though, it needs multiple dimensions to somehow get to something useful as a mental model.

I am „green“ first and foremost, and while the solarpunk or eco-socialist movements surely have socialist aspects, the „green“ main focus isn’t even covered in previous models. Green is neither left nor right nor liberal, it’s… future oriented? Dunno.