There has been neuroscience and empirical data to back up the idea of gender being an intrinsic thing, not to mention loads of anecdotal information. I could be wrong, but, as far as I know, the same does not exist for race. Even anecdotally, I don't know any black people who describe their race in those terms.

For most of us, our ideas regarding our racial identity are shaped by the society we live, i.e. the context of white supremacy. When I've seen black people who weren't exposed to race in that context, when they do face it, it's shocking to say the least. That's why I don't think race moves in the same way gender or sexual orientation moves. I don't think it's just in a person. The conventional wisdom is that it's shaped by the world around you.