Oswald was a complicated guy but as someone of the Left, I don’t see how supporting Marxism equates to disliking the US. One can criticize capitalism and racism (Oswald did both but so too did MLK Jr) while not disliking the US as a whole.
Of course, in the early 1960s it made no difference. Being labeled a “Commie” was almost as bad as being labeled a Nazi.
In other words, the nuances of Oswald’s views didn’t matter at the time when JFK was murdered. The facts that he was a self-identified Marxist and had lived in the USSR looked bad enough in the court of public opinion.
Jon: Yes, but he wrote that he disliked the American political and economic systems. He compared them, unfavorably, to the Soviet system. He said both were "slave" systems that needed to be overthrown. Michael Paine said that Oswald told him that the US system was irredeemable and couldn't be changed; that it needed to be replaced.
Here's Oswald: "I have lived under both systems; I have sought the answers and although it would be very easy to dupe myself into believing one system is better than the other, I know they are not.
I despise the representatives of both systems whether they be socialist or Christian democracies, whether they be labor or conservative, they are all products of the two systems. "
So, whether he disliked America or not he certainly didn't care for our economic and political systems. Whether his belief in Marxism was simply an explanation for the world he disliked - and given his childhood it's understandable that he'd be alienated from it - or not can be debated I guess. I think he had a bit more sophisticated understanding of some of its basic concepts than others think, e.g., his views on surplus value for example were pretty solid.
As to his views on JFK: they are a puzzle, aren't they? If he was pretending to be a Marxist, if this was an act I would think part of it would be to denounce JFK. But if he was a sincere Marxist (as he understood it) and an admirer of Castro I would also think he'd be critical of JFK. But we can't find anything other than the Schmidt story.