You’re incorrect. I am disgusted by actual abuse, but I am also legitimately disgusted by the idea of anyone having sexualised thoughts about children. If you can tell me that these people have no control over that then you must be able to comprehend that as a parent I have no control over my protective instincts.

The idea of people who are sexually attracted to my children, or any children, being anywhere in the vaguest vicinity of them triggers very deep instinctual reactions. Whether those people intend to act or not.

Well, if you're worried about thoughts, what do you suppose will create a safer environment for your offspring? De-stigmatization of problematic urges, allowing the afflicted to openly participate in society and receive assistance, or active and violent ostracization and persecution, forcing each and every afflicted person into immediate, life-long and hopeless secrecy?

Just like anyone else you have the ability to act against your immediate instincts, because sometimes, as exemplified by the premise of this whole thread, instincts are just shit.

Everyone needs a Boogeyman to hate. Yours are pedophiles, no need to apologize about that one. It still is only a feeling that your brain craves.