I don't doubt that there are people who just don't like to see two men, or two women, holding hands. But I find no reason, of my own experience, to suspect they are any less outliers in that regard than some might imagine I myself must be.
On second thought, you might want to keep those to yourself. I'm not sure how much "non-politically correct" talk is actually allowed here but I know it isn't much.
I should mention that by saying "LGBT movement" I'm referring to the overarching acceptance, not a specific or group of specific organizations. I know that these groups have their own issues, as is only human.