First off I wouldn't count on any new wars anytime soon. China is a communist country but McCarthy-ism is dead. Our relations with China are not even to the point of being stressed. Sure we're a little concerned about their huge military budget, and sure we're concerned about the inevitable territory stake with Tawian, but China isn't stupid. An invasion of Tawain would not be taken lightly in the world. It wouldn't just be the US stepping in at that point.

As for your original question, I think it's absurd to form an alliance with a country because A: They're a nuclear power B: They have a close land base. If a war with China starts it won't be because we started it. It will likely be them invading Taiwan and the world looking to it. Don't think for a second Japan and the Korean nations wouldn't be biting their nails and open their arms to a few extra UN or NATO troops. India would likely follow suit.

You also have to consider our relations in the middle east. Pakistan and India don't exactly have tea together everyday. Forming an alliance with India would slap one of our greatest allies in the middle east in the face.