Yes, but that would be true if Indian leaders were decidedly incompetent. So far, I have reason to believe that at the very worst case every decade (or two), a competent Prime Minister comes along to push things.
You see 'Tea Party' ideals cut both ways. Its a double edged blade. It can make us stronger or it can act negatively. These very same fears have been expressed before and the results have (in India) always shown that they have made India stronger. The very same Indian companies that feared foreign competition have become MNC's. They are beating American corporations not just in India but also in third countries. The very same talent that joined these foreign MNC's leaves them after learning their business and setup their own ventures.
And secondly, when a market as big as India wants something, what makes you think that these same American/Western MNC's will not lobby with US government to do what India wants - so as not to lose a market. This is already happening.
Thirdly, since you live in the US - you would know how many of major corporations in US have Indians in key positions. These Indians in general exert enormous pressures to ensure that their companies put more and more investment in India. Eventually you have corps that have 60% of their entire workforce in India - from their basic tech support to their entire R&D centers but are US corporations only in name(to obtain benefits that come with being an American company).
The blade cuts both ways.