As for the white male vote, I would definitely guess at Nixon winning it. Minorities were more Democratic then whites and I think women were more Democratic than men? Especially, one would have expected more women to fall for the Kennedy charm... 
Wasn't there a nonexistent gender gap back then? (or maybe even women being more GOP than men)
I've heard Nixon won the female vote in 1960. I believe as late as 1976 there was no gender gap at all and Carter won men that year. It wasn't until 1980 that it really showed up.
Probably due in part to Democrats as of 1960 actually being generally the more hawkish of the two parties, and also the fact that unions had much greater influence back then and men made up the vast majority of their membership.
Also many more women work outside the home than did back then. Both now and in the past, working women have been more Democratic than stay-at-home women; the gender gap is primarily caused by more working women.
