If by some crazy bastards, you mean morons like
, I wouldn't worry. If the U.S. actually though they could "win" against China in a strategic nuclear conflict, we would not be having this conversation right now. As it is, with China's current arsenal, we can be fairly sure that the U.S. would cease to exist as a viable geopolitical entity. You may not be able to kill every single American in the initial blasts, but the subsequent chaos of all of your major population center suffering multiple nuclear detonations is going to cause massive secondary effects which will completely wreck your national logistics, power, and water systems. Your surviving population will be suffering from hunger, thirst, and disease within months. That's also not to account for secondary violence due to the remnants engaging in violence to attempt to determine who rules over the remaining starving, dying population.
Frankly, in such a scenario, being vaporized early on would be a blessing in comparison to the alternative.