Again, protectionism. If a billion people in India and a billion people in China are competing in global markets, my country's culture isn't going to survive anyway. How is Ottoman culture doing these days? Honestly, how is the British culture of even a century ago doing these days? How long did the Japanese culture so carefully preserved survive Matthew Perry's arrival?
(Also as it happens I'm an American-born child of Indian immigrants, so I am actually a carrier of American culture and not Indian, so I have reason to question the implicit assumption that immigrants will destroy culture.)