Ned I can see why you may be confused and it is worth having a debate, just not on FB where you will be talking to people who suffered child abuse or perhaps paedophiles themselves.
My personal experience of paedophiles is that they are not attracted to children because they want an equal, loving relationship with a child. They are attracted to having power over a person who has little understanding of what is happening to them, who has a natural instinct to trust and want love from an adult. They are attracted to watching that child squirm when they don't want to do what the adult wants them to do. They are attracted to the power imbalance of doing things that may be painful to that child.
Lots of people have personal experience of peadophilia. It's not enough to just sympathise with someone who simply is attracted to a child's body because that is not what peodophliia is. They are attracted to the power they have over the child.
And that is why the peodophile is dangerous. The affect they have on you as an individual is lifelong and permeates every single sexual feeling you have from that moment onwards. It seriously inhibits the life of the victim because they have all sorts of esteem issues and confusion over whether they 'liked' it or not (because of the child's instinct to please an adult). It goes on and on and on. To be reminded of it on FB one morning is painful, especially if someone is saying 'your abuser is a victim and needs support'. It is somewhat disrespectful and actually if you're not an expert in this field you should stay well away from it.
In addition to the fact that peodophilia is about power, not sex, therapy rarely works for people who see nothing wrong in what they do, or think that they have a specific mental illness that means they have no control over what they do. I doubt very much that therapy would ever convince someone who enjoys hurting someone else that they should not enjoy hurting someone else.
Also, being abused does not then mean you go on to abuse. Yes, some victims will re-enact the abuse they suffered. They could definitely do with some therapy for the abuse they suffered. Perhaps that would stop them re-abusing, perhaps it would be too late.
But, not all victims go on to abuse. They are saddened by what happened to them and would not want to inflict it on others. They go about life trying our best to tread lightly, not to get unwanted attention from people as they view everyone as a potential threat to us, and they have problems with our intimate relationships that cause us some distress. They would never want to inflict that on someone else. Infact, they have an initimate understanding of what a paedophile is and are sensitive to the signs. That makes them great protectors of children.
I hope this error of judgement wading in on an area you don't fully understand doesn't stop you trying to find an answer for this, but I think you are barking up the wrong tree. You need to look at abuse as power and control, rather than a sexual attraction. Yes the paedophile gets sexual gratification but it's because it has been forced out of a confused child, not becuase they are naturally attracted to a child's body.