Unless of course, you are personally troubled by people different from you...
I'm not troubled by people different from me.
In fact, I have a great deal of fondness and admiration for many cultures I have no personal connection to. Some more than others, but I find things to appreciate from every culture.
I don't really care for the role Islam plays in the world today and the condition of much of the Islamic world, particularly in how they treat women (but also how they treat men frankly) - but this doesn't prevent me from greatly admiring the role that culture played in preserving our history and advancing science. I also think some of the music, architecture, and clothing which has come out of that part of the world is beautiful.
I think Sub-Saharan Africa is pretty much a mess over large portions of it today, but I respect the equilibrium that had been achieved with nature by many tribes and cultures there prior to outside interference and I think a lot of the tribal dances and masks are very cool, and some of the religious belief systems are really interesting. I also respect what appears to be our species' oldest group. Have to have affection for our species' birthplace after all.
I think I've already expressed my admiration for East Asian cultures, and I"ll add India to the list. As well as the Native American cultures in all their manifestations. All of these cultures have had some barbaric practices and deep problems, but so have the cultures of European peoples. All human beings are flawed. All have produced beauty as well.
I actually agree with you that it is cool to have places like NYC where all the various cultures and languages of our species come together in one place and create a fusion.
I just think that each distinct culture and genome should also be preserved and have a homeland which is inviolate. I think the loss of any of them would be tragic. I think those who claim to love diversity should agree.