It's a catch 22. India tracks caste because they're trying to get rid of it. America doesn't track race or social status or whatever. Legal status means nothing really. Especially in urban India, it's becoming very irrelevant what your background is. Are there bigoted regressive people? Yeah of course, but I mean... Those are everywhere. Are there more in India than elsewhere? Probably, compared to urban western nations. But India is like a century behind on social progress id estimate. Still ahead of China where your status is literally tied to your place of birth though.

As for changing caste... You only need to reference it if you're seeking government benefit. If you don't care about it, stop keeping track, and don't share it with your kids... They'll never know and just get assigned general or whatever they call it. Of course, since caste is literally genetic, anyone doing a genetic test will quickly figure it out. However a gene test is not enough for seeking caste benefit status if I understand correctly, so this is as erased as you can get