Wouldn't you just get a proxy buffer state like Afghanistan, Iraq, Syria? Doesn't sound like an improvement to the status quo.
I don't know what that would look like because I don't know India that well, but I do know that the guys at work from Tamil Nadu are very different from the guys from Northern India. It's not a Texas vs California difference, it's a "we don't even have the same mother tongue" difference.
What is wrong with that? Belgium and the Netherlands are successful peaceful multilingual countries.