While power and control are a portion of pedophilia, the actors aren’t the same as “anger, power, or sadistic” rapists who attack adults. Pedophiles have a different psychology behind their activities. Most come from a place of isolation and an inability to communicate emotionally with adults, and many pedophiles were themselves abused as children. Don’t worry, I’m not in any way saying that their actions are acceptable, it’s just important to note that rape comes in many forms.
Priests may be able to give sound relationship advice to others, but because of their life choices may never experience the same roles themselves, and that puts them into a very submissive position with other adults should they ever seek adult relationships. This plus their public vow of celibacy may help to explain why there are so many pedophiles among them.
Here’s a really good discussion on the subject of pedophelia.