Anyone can be a pedophile, regardless of other characteristics. The major champions of actual sexual abuse of minors today are politically right wing. Compare age-of-consent laws in red states to blue, or advocacy/performance of child marriages, and a pattern appears.

The conflation of evidence-based methods of sexual education with “sexualizing children” is a bald faced attempt to make kids more vulnerable. Kids trained in the importance of consent are far less likely to keep quiet when dealing with an abuser.

I would not concede, as you have here, that there was ever any appreciable link between trans advocacy and sexual abuse advocacy. The fact that some people somewhere advocated for both is true of any movement of sufficient size.