What I find problematic in this discussion is the automatic assumption that child-molester == paedophile. That is not entirely true; and that belief very likely masks the true nature of the problem and greatly retards attempts at resolving it. I very seriously doubt that the number of paedophiles in the clergy is anywhere near what is claimed; nor anywhere near the majority of the child molesters. Just as with non-clerical child sexual abusers, children are not necessarily their preferences, merely targets of opportunity.
There is very little said about clergy, Catholic or Protestant, who have non-permitted sex with other adults; and it's often assumed that adults are always complicit in such acts. But very often, these adults are victims as well; and the clergy use the power of their office to manipulate or blackmail others into engaging in illicit sex. Children and teens seem to be victims more often; because they are more easily manipulated by authority figures, and are given a great deal of social visibility when discovered to be victims. The reason this is a problem for the RCC is that, as noted before, they're one of the few institutions that attempts to suppress information of these sorts of issues, rather than removing the abusers from their positions of authority.
As for why, again, paedophilia is not a sufficient explanation; and the proposal of a conscious desire to abuse power is a crude straw man. They are individuals who are under a great deal of stress, compounded with severe restrictions on sexual activity. The sex drive is a powerful one, and celibate clergy have no outlets for sexual expression, and few outlets for channelling that drive into other avenues. It requires a great deal of self-discipline to suppress that drive for a lifetime; and it's not for nothing that monasteries and convents gained a reputation as hotbeds of sexual promiscuity and deviancy in times past. Hamlet's command to Ophelia to "Get thee to a nunnery!" would, during Shakespeare's time, have had the clear connotation of prostitution rather than self-denial; tantamount to calling her a "whore" or "slut" in modern parlance. He was denigrating her for (an imagined) profligacy, rather than adjuring her to a life of purity and self-denial.
Dismissing the issue as "paedophiles looking for easy access to children" is to fatally ignore the true complexities of the problem, and guarantee its perpetuation. Interestingly, clerical celibacy is not scriptural, but is instead based on tradition, much of which was absorbed from pagan cultures. The bible actually recommends, if not requires, that ministers be married, with a wife and children who are positive examples of the faith, "For if he cannot lead his own family, how can he be expected to lead the body of Christ?"