This is anecdotal, technically so is your statement, but that's besides the point.
Growing up I knew more Muslim, Sikh, and Indian people who were told to NOT wear traditional headwear because they lived in America now and the families wanted to fit in.
I actually don't know anyone forced to wear headwear. I had numerous friends growing up told not to by their families.
This is pre 9/11 btw, that had zero influence on them.