I think the conversation around pedophiles always needs to be explicit about the line between desire and action (broader sexual orientation conversation aside). There's essentially nothing a person can do about their sexual desires, but of course their actions are always under their control.

The attempt to connect pedophiles with LGBT is a right-wing agenda in order to turn straight people against LGBT folks. The tactic has been used before and I'm sure it'll be used again. When they try to sneak this connection in under an intellectual guise, they're intentionally silent about the difference between what's in your head and what you do in reality. In that sense, no, of course pedophiles and LGBT are completely different, and you clearly explained why. One group can responsibly act on their sexual desires, the other absolutely cannot. With that framing, straight people and LGBT are united and pedophiles are out.

I guess I basically just said what you said but with different words, I'm still gonna leave it.