I'm going to assume that anything large enough to destroy the surrounding mountain would require at least one of the missiles/warheads to go (thermo-)nuclear. But my understanding is that actually achieving the Big Bang is really rather difficult to do intentionally, let alone by accident - at worst you have a few kton fizzle. So how is a small change in humidity able to trigger one or more of these weapons? (And, if one did successfully trigger, is it possible that it could daisy-chain the rest, or would they be torn apart before achieving supercritical geometry?)
Then again, I guess it's maybe possible that the supplies of conventional munitions and maybe nasty missile/rocket propellants could do some major damage, but a whole mountain?