There's some of that, sure, especially in fairly homogenous populations, such as the densely-populated Asian cities where getting noticed means going further than your potential rivals, but there's a lot of this that ends up being ingrained in the young. I grew up full well knowing that my lack of complete whiteness made me neither Asian nor white to varying people in my schools, neighborhoods, and, worst of all, my own family. I know plenty of my nieces and nephews as well as other friends and family who have immigrated here and many if not all of the younger ones think very little of people who don't look white or, more depressingly, like them. It's not just my own experience with this, but also friends who are black and natives and hispanics who also have similar experiences. It's frankly sad, but I know how those kids feel since I was made to feel that way and think that way for much of my own childhood. It never even needs to be said directly, either, as the sheer force and total dominance of it in media sends the message all of the time.