Maybe there's a Bollywood branch of Starfleet, based in Delhi? Another in Tokyo. With few westerner faces to spot in the crowd scenes? It would be nice, if in the future ideas of nationalism had gone the way of the dinosaur. But there's still different cultural backgrounds, and given a choice... native majority inhabitants generally don't up sticks to go live thousands of miles away. They stay within hundred of miles of where their families have always been.
In the Star Trek future, perhaps off world colonies paint an even more immigrant diverse picture? They should set a future series there, and explore what it is to be human determined to make it on a new world around Proxima Centuri or elsewhere. More than human, once more and more interspecies relationships begin happening.