What exactly is the difference between them? If I were to draw a Venn diagram, I could probably think of some contrasts. I don’t know if most conservatives really care about segregation at this point. I don’t know if conservatives are down for a genocide (though I have my suspicions). The main thing that they have in common is anything BLM or black crime related. Talk to any regular conservative about those things and they’ll turn into Derek from American History X. This is because at their core, they think the law should apply to everyone but them. They don’t care if White people get away with crimes against POC, but think POC should be executed for shoplifting.
I think they differ a fair bit in terms of tactics and priorities; for example, Neo-Nazis don't give a shit about tax cuts and conservatives think opening up literal concentration camps is a little too uncouth. They'll always back each other when the chips are down but in current conditions Nazis and Reaganomics dipshits aren't pushing for the same things.