If one belongs to the school of thought that the hippie counterculter movement was encouraged and organized by soviet plants and subversive communism, then maybe it would be avoided.
Another way to look at it is if America rids itself of the Sovet threat early, there would be no red scare, people probably wouldn't be so quick to deamonize communism, and socialism in general. Although there might be a counterculture movement that embraces it, it may be low key and not acute, as some socialists may even be able to make their way into American politics.
Although at this point in her history the US would be the only world superpower and anxious to maintain would probably continue smaller wars against colonial targets for decades to come. This also, I would imagine, would have an affect.