You are just extrapolating the current small boost from small negative news (yes, it is small, the media are just blowing it out of proportion) and say that if a world war would start, Bitcoin would go to the moon, but it would actually be the opposite - global exchanges will start shutting down because they could be used by enemy, Bitcoin will become regulated/banned for the same reason, mining might get banned because governments will take tight control of resources, and at the end of it all there's a nuclear scenario which renders Bitcoin useless.
But if we really see an armed conflict that escalates to the point of WW3 then bitcoin is going to be banned and anyone that has anything to do with it will be most likely arrested or at least investigated, and that is one more reason to never reveal to anyone that you are holding some bitcoin, and at that point bitcoin will become useless.