If politics includes war (which, as Clausewitz says, is the continuation of politics by other means*), then there are plenty of films that include humanity smurfing itself over with politics. Dr. Strangelove is possibly the best, and certainly the funniest. Others include Failsafe, The Day After, and On the Beach.
Robot apocalypses, of course, are represented in the Terminator films, although some of these are better than others.
*Lenin, of course, memorably turned this famous quote around, and said that politics is the continuation of war by other means. Foucault said the same thing.