Other faiths and denominations that have married clergy deal with the same problems; ministers, rabbis, and coaches simply abuse the power regardless of whether or not they are married.
Catholic priests in the eastern Churches can marry. I believe there is a rationale to the celibacy, as all of the apostles (our first priests) were martyred save one.
Allowing priests to marry wouldn’t eliminate the problem—professions that offer intimate access to children will always attract some perverts—but it would decrease the problem by making more of a place in the profession for people with a normal, healthy sexuality that they don’t want to have to conceal.