Chris Christie's health problems disqualify him for the presidency, yet you would have voted for Kennedy, probably the most unhealthy man to ever have run for President?
You know this is such a different era, the 1960's might as well be a century ago in terms of how information gets out and how the media drums on it. FDR's condition would have been issue in all likelihood. Taft was overweight quite substantially. Buchanan was a bachelor and I don't think one could be elected today; at least not under ordinary circumstances.
Once we realize that the myth of progress in the liberal sense is a farce, and that society has at times accepted things that it no longer accepts (actively stepping backward on some issues), it's certainly clear that the electorate may be intolerant of things it previously had not considered.