Except that India and Pakistan did have a low-intensity war _right after_ their reciprocal nuclear tests in 1998.
Also, India has whooped Pakistan's ass every time they have been at war, both before and after nuclear weapons, so Pakistan has a much smaller incentive to trigger an all-out war. India isn't interested in capturing Pakistan and tilt its own demographic balance.
Nothing of that contradicts the premise of what I said.
Neither India or Pakistan would jeopardise the very existence of the other nation, because rather than just lie down and die they'd get a farewell message from the other side.
http://en.wikipedia.org/wiki/Kashmir_conflict