India is the 5th largest country by GDP in the world. They're flocking to it. Been there more than 10 times and there is a lot of white people there. Especially British.
And there is a lot of British Cuisine there made by white chefs
Merging is part of process, interaction is the initial. If you find a skill that is deficient in another society and that is tradable. You make an effort to sell it to that culture. You try to commoditise and at least make it have a high barrier of entry to so that it cannot be easily replicated so that you make the money.
That a form of how diversity works. It comes in many forms its not just brown ppl sneaking over the border and not adding any economic value.
I'm an child of immigrants and I love America. I love capitalism, I love hot dogs, I love beer, I love PF CHANGS even though that have nothing to do with my parents culture.
Worked hard and my earnings add economic value to America. That's an example of diversity as well adding economic value to a society.