Blimey! That's what I call a dystopian 1950s.
I imagine that the intellectual environment of the 1960s will be very different that OTL. There is the distinct anarcho-syndicalist movement for starters. On the other hand the "Red Diaper Babies" that were such active players in the New Left of OTL will likely be equated with the German-American Bund or Charles Lindbergh in the average citizen's mind.
Friedrich Hayek will inevitably conclude that racism is also an inevitable consequence of statism as both Holocausts were brought about by regimes were the collective was supreme to individual human beings and could therefore justify slaughtering those outside the respective collectives.
On the other hand, the Arthur Schlesinger's of the world will become even more weary of ideologically-charged groups than OTL and be even more devoted to defending the "Vital Center".
It is also quite interesting how this is increasingly becoming a world where McCarthyism and anti-hate speech laws are becoming increasingly indistinguishable in how they both target ideologues as "subversive" .
Since this reality features an early Nixon administration, I wonder if US attention will turn to developing/courting stronger relations with Latin America (in OTL, Nixon came to this view, particularly after he was mobbed in Venezuela).