Well, let's think. By pedophiles, are you referring to people who are sexually attracted to children, or people who sexually abuse children?
If a person is a normal person who happens to have a sexual attraction to children, and they do nothing wrong, why is it so morally abhorrent?
If a person has a sexual attraction to children, and has a sexual encounter with them, and it doesn't affect the children negatively, why is it so morally wrong?
If a person has a sexual attraction to children, and has a sexual encounter with them that leaves them mentally broken and scarred, then I can accept that as being wrong.