I also think Bitcoin will survive a Nuclear War. If we look at the system or the structure of Bitcoin, miners are scattered around the world. The same goes for its nodes. As long as the whole world is not devastated by nuclear weapons, Bitcoin will survive as long as there is 1 miner up and 1 node up. If ever the internet shut down during the war, I think it will be one of the priorities to reestablish it since communication is very important. A temporary halt of the Bitcoin network doesn't mean it will perish and I do not think Bitcoin enthusiasts will be wiped out during that nuclear war.