I think my parents were initially supportive of FDR (they were teenagers when the New Deal began and their families suffered in the Great Depression) but were later very much against him--so they would have dating the trend towards Communism to the FDR years.
Right after JFK's victory in 1960 my mother made a comment to the effect that they might as well go spend all their money (because it would be worthless soon). But they supported Nixon's conservative opponent in the 1962 California gubernatorial race, and I once heard my father call Nixon a Communist.
A lot of things began to get worse in the 1960s and I wouldn't disagree with saying the JFK assassination was one of the causes.
But I think it was smaller in comparison to the affect following the JFK assassination. Perhaps by the fact that they sticked to the lone gunman, Lee Harvey Oswald, and attempting to couple him the Soviet Union . They weren't buying that explanation, and we have certainly seen that explanation has been rejected by most Americans.
However, my contention has nothing to do with JFK & his policies, it was the actual act of assassinating him, and their perception as to who carried out the assassination.
Sort of the reverse as to the attempted assassination of Trump, that drove more support to him.
Not being around during FDR's terms, I have little insight into there being extreme chaos being introduced into everyday society, but we lived through the chaos during the late 60s & beyond that were sift, widespread & extremely radical as well. If it had been radical in the 30s, it gave way to WWII. So, from the mid 40s to the mid 60s its presence did not get much notice.
The Vietnam war played a large role in the radicalizing process as well. Though I never allowed that to influence me, because our young men were called into duty, and to a degree a supported the effort to push back against communism, because I saw my nation as having our best interests at heart at that time. Mainly because I was still apolitical at that time. Both parties had differing ideas, but they both loved this nation, or so I thought.