A world war? In this day and age, we have made many economies and states mutually dependent on each other and all-out world wars like WW 1 and 2 is unlikely to happen.
What we are likely to see are small-scale insurgencies but of course if NK go ballistic, maybe we will see a large scale war.. but even in that scenario, a WW is unlikely.
anyway.. in a war, cryptos are likely to increase in price as state-backed currencies will become unstable. Cryptos can easily allow anyone to bring their wealth with them and will be bought by many who feel that their security is threatened...