So, to get started, these are all objects in some category, but I'm not sure what the defining features of this category are. They all have beliefs about groups of people, sort of (libertarianism going for "all individuals" often, veganism involving animals on par with people with respect to certain rights). Several involve thoughts on government (black nationalism, Zionism, libertarianism) and others don't (white supremacy, feminism, veganism) so that can't quite be it. Some explicitly put down other groups ("supremacy" is a giveaway) and others don't (feminism doesn't, black nationalism often doesn't, depends on the flavor of veganism and Zionism).
Even if you leave out my additions, what makes feminism, black nationalism, and white supremacy comparable? Why did you put them together? One's racist, one's separatist, and one is about equality; they don't have the same relationships to governance; going back to category theory how are you going to construct morphisms between these to compare them?