Really, it's about how we identify ourselves, right?
I was raised by my very Japanese Grandmother. Though I identify myself as Caucasian, there is a part of my upbringing that is very much Japanese, as untraditional as it may be considered by anyone. Though I have difficulty speaking Japanese, I still understand a great deal of it, and the rice and tofu was the "meat and potatoes" of my upbringing. Please, give me meat and potatoes!
(OK, so I do like rice and tofu, too....)
Race or no, there are things we've come to understand, know and respect about one another that are a product of our experiences, whether they're from our childhood or from our adulthood. They affect who we choose as a mate, who we choose as friends; they affect how we think and feel, as logical as we may be from time to time (some of us more than others). I think it's pretty truthful to what I've come to know.
Race remains a mere identifier, only there when a simpler term isn't available (IMHO).