Sorry, mouse. I've noticed we've been doing that a lot lately. Perhaps we aren't as different as we'd like to admit

That's a scary thought.

What I'm about to say isn't popular and in no way what I am saying is meant to be offensive. So, if you think you'll be offended, stop reading.
I don't know a lot about pedophiles, but what I've learned is very fascinating to me. There were periods in our history where we allowed people like them, with their urges and desires, to find mates that are attractive to them. However, in today's society, they are considered "wrong" desires and impulses.
Also, I have read and studied studies that show there is a difference in brain activity between those who molest for "power" and those who molest b/c of a true sexual preference. There is no medication for the second ones; only chemical castration (which many take). Still, they live with the guilt of having urges for children.
I find it interesting how morals and "rules" change with societies. The treatment of these individuals - even the ones who have not molested, but have the desires - are treated with the same scorn as a gay man in the 50s (or today, in some places).
It's a field of study that is hard for many to talk about and I myself was taken aback a few times by it, as you're trying to learn what's going on in the brain instead of what society and our laws tells me is wrong.