I think that's a very very narrow and specific definition of identity that most literature would disagree with. There's far more to identity then racial identit

I think that's a very very narrow and specific definition of identity that most literature would disagree with. There's far more to identity then racial identity (or sexual/gender for that matter). People incorporate anything and everything into their identity. Vegan/Crossfitter/Burner are all core identity components for many many people. The "negotiation with society" is a function of how the individual externalizes it, and what type of reinforcement they expect to receive back. To your example, Rachel Dolezal could maintain her self selected racial "identity" in peace and quiet if the society she was sharing it with was Tumblr and not the NAACP.