A very old fashioned and outdated view
As someone who is mixed race this is pretty much the attitude I face every day. I identify with white people and white culture far more than black culture but I'll always be labelled black before mixed and white. This is very much the attitude of today. I don't remember all the articles lauding Obama for being the first mixed president, or Halle Berry as the first mixed Best actress winner at the Oscars. Mixed people of black descent are always lumped with black people. Halle is just stating that her daughter will probably be too.