Your take is very strange, and does not correspond to the Indian immigrant experience from what I have seen. I spent 10 years in the US, and the really weird part is how stridently Indian parents would push their kids to train in Indian culture - particularly classical dance like Bharatanatyam and Carnatic classical. Of course, since Westerners have hardly even heard about these cultural forms, these do not even exist as "extra-curriculars" for standard university admission boards.

I found the emphasis on Indian cultural roots so disturbing that I had to weasel out of conversations by saying "I don't know anything about classical dance, I am mostly interested in science-fiction". It is easier to have your own way as an Indian middle-class student in India than as second generation Indians in the US.