True, I have no evidence. Or if I do, it's only anecdotal.
I know a lot of my friends, apolitical or even left-wing people, have shifted from being full on pro-gay liberation back to a sort of moderate liberal from the 90s position, like "I'm glad they have equal rights but it's kind of creepy that my facebook feed is full of transgender children, do they have to push this stuff so actively?" Of course, this is the minority position I've encountered but it's a significant and growing one. I suspect even more people would back it in an anonymous survey. No proof, just a guess.
Well, your friends are pretty dumb for associating trans issues with general gay issues. I can certainly understand getting creeped out by trans kids, but how would that roll over to having negative views of your average gay man?