It's misleading to go from "Parents should be allowed to seek whatever treatment or therapy they deem fit for their children" to "Republicans are advocating gay conversion therapy", anyway. Not opposing something is not the same as advocating it.
The few people in the Democratic party who believe in homeopathy and UFOs are considered nut cases and marginalized -- it's not official dogma promoted by the leaders of the party and written into the official platform, the way conversion therapy and climate change denial and marriage inequality are part of the official Republican Party platform and ideology.
Don't be coy about the plausibly deniable wording. Everybody knows what the dog whistles signify.
Um... well... actually... https://psmag.com/why-is-hillary-clinton-making-strange-comm...
On this point at least you are mistaken; John Podesta is Clinton's campaign chairman and a pretty big UFO nut. He hasn't been marginalized at all.
I was responding with a counterexample to the quoted part of your statement: I thought that was rather clear.