Back in my flight instructor days, I had an Iranian student who went on to get his CFI and has had no problem getting work in the U.S. aviation industry, he too gets teased about his ethnicity, although he's frequently the one who initiates it!
As a side note, back in 2000 I had wealthy Saudi woman who came to our flight school and just wanted to do some flying, apparently she was an accomplished pilot and regularly flew in Saudi Arabia, where women are forbidden to fly, she got around this by always having a male pilot talk on the radio. I flew with her a few times, and sure enough she was a very good pilot but I had to do all the talking on the radio as she was very uncomfortable doing it herself. Her name, by the way, was...Najia Bin Laden!