But my point is that people who don't give a fuck about that identity are still subject to it. Whiteness is an ingrained social phenomenon. It's in the US census!

I'm not disputing that reality, I'm disputing your response to that fact

A person who doesn't consider themselves white is still considered white by a society

Not me, I don't identify as white and society at large doesn't see me as white unless I happen to pass on any given day, but the US census considers me white and a certain delusional minority of my ehtnic in-group consider me and themselves white, and I'm not an anomaly, this is the reality for so many ethnic groups who don't fall cleanly into this thing you present as being so cleanly divided

That's why I said it's ironic, cause your argument only really applies to dark skinned black people who don't have the economic and social power to overcome this kind of codification