I've always been puzzled by how easily Oswald got back into the USA after supposedly "defecting" to the USSR and renouncing his US Citizenship. That was during the hottest years of the cold war, i.e., post Cuban missile crisis, etc. I can't see the State Department just letting him waltz back into the country without being seriously questioned. Something about that just doesn't smell right.
The State Department has always been filled with lefties.