Most priests aren't paedophiles.

The problem is that the hierarchy actively protects and covers up those who are, to the extent of moving them to different parishes if people get suspicious. And to be clear, this isn't because popes are necessarily in favour of paedophilia (though I'm not saying none are...), it's because the clergy are more concerned with the prestige and survival of the institution than they are with the well-being of lay believers.