Most likely very few true paedophiles are child molesters. Most research indicates that most child molesters are normal but amoral people.

Our society has not yet arrived at the understanding that paedophilia is not just a sexual attraction. The various "child protection" organizations (read: rackets) get a lot of funding to mislead people convincing them that it is the vile pedos who are the monsters and not the average shmuck. Their funding would not last long if they did.
We are the scapegoats of this time (hopefully a brief one).