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.
Depends on what you mean by "conservative." If we're talking about explicit ideology, then no, there's a difference. If we're talking about your average CHUD, most people aren't serious ideologues, they just move toward the extant structures that suit their material conditions, and in light of that I don't think there's a serious difference; at the very least they're splashing around in the kiddie pool of white supremacy.