I think pedophilia, as the others psychological disorders, needs to be studied. If you think about, for exemple, in epilepsy, we today can say that this is a neurological problem, and it affects all your life. But we know what it is. But before, many said that it was related to Satan, Demons, and many people were killed because the religion and the non-compreensive minds.
Today, we can do with the pedophilia the same we did with epilepsy. We can kill all pedophiles, or we can listen to them and learn how help this people and the victims.