I don't even know where to begin. First and foremost, there is no "white" culture, or a "Western" culture, or hell, even a "British" culture. The main part of our culture: our political and economical philosophies are modelled on other cultures and schools of thought which have been developed at various points - both geographically and historically. The superficial stuff - fashions, cooking, etc... well, it doesn't really matter. As I said, they're superficial... and, generally, benefit from the global mix (and it's been going on for centuries... one of the main benefits of the British Empire, from the British point of view, is the improvements in our cuisine thanks to recipes and ingredients imported from the Orient and the Americas).
But that leads me on to my second point: The British Empire. The British Empire forced many cultural aspects onto its territories - British Common Law, Parliamentary Democracy (and superficial stuff - cricket, left-hand roads, etc), the cultural changes now are very much at the option of the countries. Nobody is trying to get off the globalization train, everybody is trying to jump on it. Ethnic foods are surviving in countries because the citizens like the taste of them, and are voting with their wallets.
I honestly don't see what the problem is. Let alone being scared of it.
