Brush fire wars and political aftermath of Berlin 1961 crisis turned hot?

If the Berlin Crisis of '61 had gone nuclear what would be the political aftermath? Would there be any brushfire wars? If so, what would they be like?
 
A nuclear war in 1961 sees up to a few dozen nukes hit North America, and the USA and Canada may survive as countries, and Western Europe gets devastated. Massive American nuclear superiority means the Warsaw Pact, including the USSR, is wiped off the face of the earth. There are no brush wars.
 
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