That's precisely it, the nazis were embracing one singular shared heritage and killing people who didn't fall into it. This is precisely the opposite of the lefitst viewpoints, where you can announce your differences on your twitter bio as your identity and people are expected to acknowledge and celebrate them. "Afro-latina they/them autistic" and other announcements are pretty common along these lines are pretty common in a way I don't see outside of leftist circles.
Choosing some innate quality you can't change as a focus of your politics is inherently divisive, the fact that it is empowering to some sub groups misses the point.