her dad was an even bigger war criminal

Guilt by association is a fallacy.
She’s a Bush Conservative, although I still wildly disagree with her, that’s not nearly as crazy as Trump’s MAGA crowd, who aren’t really conservatives, but rabid cultists, who want to dismantle democracy, and want Trump as dictator king.
So yes there definitely is a big difference in Cheney at least supporting democracy. Saying both are crazy Republicans is a false equivalence.