Regarding 1960, is there a realistic chance that Texas was stolen? The margin for Kennedy in Texas was about the same (in percentage terms) as Bush's margin in Ohio in 2004. Seems to me that Republican sour grapes about 1960 makes as much sense as Democrats claiming that 2004 was stolen.
No. The margin was narrow but historians have agreed that it was solid, unlike the questionable Illinois vote.
I think there remains a lot of doubt about 1960. In many states Democratic party machines totally controlled the ballot counting and local judges in the cities. Besides generating 9000 votes in Chicago to give IL to Kennedy, 10,000 in St. Louis and Kansas City might have given him MO, 17,000 in Philadelphia and Pittsburg might have given him PA, 22,000 in Hudson County might have given him NJ. We'll never know.