I think it would be very much like the world described in Resurrection Day by Brendan DuBois.
Here's a quote from the books description:
"The time is 1972, ten years after the Cuban Missile Crisis escalated into World War III. Russia has been all but obliterated, and many U.S. cities are no more than crater-strewn radioactive ruins. The U.S. relies on Great Britain for medical aid and food, and now exists in a state of martial law, with the government censoring all media. Kennedy and Johnson are presumed dead, although there's an underground of "true believers" who conclude that Kennedy is recovering from injury in a secret spot of safety and will soon rise to take command of a floundering America. The spray-painted words "he lives" can be found all across sides of buildings wherever one walks, but controlling the fate of America is the somewhat fascist General Curtis, who still wields military might."
Also, Americans, in gerneral, and the former personnel of SAC, especially, are disliked by everyone around the world. Everyone in the US appears to be tired and sour, as opposed to the pre-war feelings of happiness and expectation.