There were some who just plain didn't like the Beatles' music, but I met very few of them. I think more people who expressed dislike for the Beatles were in the mode of "those long-haired dudes don't fit in..." It was a time when some people hadn't come around to accepting the cultural change of the 60's, and to some degree the Beatles bore that criticism. They also wore Nehru jackets and played sitars, which just didn't compute for middle America.
(That's a bit of a reverse anachronism in expression - NOTHING computed for middle America then, as computers hadn't been made available to them yet.)
However, the Beatles WERE a smash hit, and stayed that way as long as they were together. Their records still sell well. The "pro" vote was and is clearly massively greater than the "con" vote.