Not really.
Apparently, there are very strict criminal background checks in place. Teachers must have a Working With Children card before they can get anywhere near a school. If a teacher is found to be working in a school with a lapsed card - they have to be regularly renewed - there are hefty penalties in place for both the teacher and the school principal.
Do priests have to jump through the same hoops?
But there is another problem, already alluded to here. The church has found itself in hot water - and in the headlines - not only because of the incidence of child molestation, but also because the upper echelons of the church went out of their way to cover up the abuse and protect the abuser. Even the Pope recently called accusations against a priest mere hearsay. He's since changed his mind!
Is your "intuition and logical thinking" telling you that such institutionalised cover-ups are also occurring in Education Departments all around the world?