No, not "all..." Nevertheless, a significant minority of celibate men do exhibit symptoms of pedophilia. To my knowledge, there is only one group of celibates who are free of all sexual desires -- those who have been castrated. Both the Chinese and Arabian cultures successfully used professional eunuchs to safely supervise harams of extraordinarily beautiful women and their children.
Now that we know well-intentioned vows of celibacy are inadequate for protecting innocent children from the celibate Catholic priesthood, I think it's time to either make castration a mandatory part of becoming a Catholic priest, or to completely eliminate the requirement that such priests must remain celibate. History clearly demonstrates that perpetuating voluntary celibacy will only perpetuate the problem. It's time for the Catholic Church to finally take decisive action to protect the children in its congregations from the perverts among its clerics. ...to either completely eliminate celibacy as a requirement for the priesthood, or to require mandatory castration for all priests.