My mother has expressed some disapproval about "how Western" I look or act (I don't think I look western at all, but anyway...) - which baffles me since it was her decision to give birth and raise me in Canada. :?
In fact, she was disillusioned with some aspects of Japanese society, and did the shameful thing of emigrating because she didn't fit in - but of course, she didn't "fit in" in Canada either, and even I have had brushes with racism in Toronto, one of the most multicultural cities one can live in.
Now that I'm in Ireland, I encounter racists frequently.

And since my husband married a visible minority, so does he.
But as for fitting in, well one of the values I took away from being raised in an individualistic culture was that I don't see the point of trying to fulfill others' expectations. I am a combined result of several very disparate influences, and others must take me as I am, whatever I may be. And since living means interacting with others, I also try to understand others for their real traits and quirks and appreciate their strengths.
Apparently I'm a rare type (only child, INTJ) and peer pressure has never meant anything to me. I do remember looking down at classmates (when I was far less mature) who were forced to attend Japanese language school and who wasted everyone's time by not trying to study conscientiously. I knew that so long as I look East Asian I would be expected to know how to speak another language, so I made a real effort to keep up my Japanese.
I also never considered dating anyone Japanese-Canadian (or Japanese-American) because I hadn't met anyone that was as proud or accepting of being what they were as I (not that I flaunted or exhalted in being effectively of two cultures or anything, but I didn't make any effort to be "more" Western than school already trained me to be). But that was a matter of respect, rather than any consciously bigoted racist bias.