Mutually Assured Destruction (Cold War Strategy)

It’s not the first time that I’ve had this dream, and the details seem to tally when viewed from my limited perspective. In it, our town launched a series of missiles at the next town over, and the timing coincided with the times on my bedside clock. In theory, whatever happens is supposed to only occur for an hour-and-a-quarter and then everything reverts to the way it was, before the strike. (One Tin Soldier?)

Which is it?