The math will always come out in favor of staying in India with a $200K salary versus moving anywhere else in the world.
However, based on your other answers about what you do, it's unlikely that this current $200K salary is sustainable. Your company can easily replace what you do with a local developer for less than $200K. They are actually doing the right thing by giving you the option to stay and move to the US.
The bigger question is, do you want to stay in India and can you accept living there with something closer to a market salary in India?
The way I see it, your savings/spending rate has to go down either way, so you might as well come visit for 2 weeks and see how you like it, and then decide.