Let's take a bit of a think about this. There are three ways to deal with paedophilia:
1. The hang 'em high brigade. Whilst I'm sure it will satiate some of our less enlightened member's bloodlust, it also has the problem of driving paedophiles underground and into groups which enable each other. This is always, in every single subculture this ever happened to through a thousand years of history the most dangerous way to approach an undesirable group. Mainly because it raping children means death then every child raped will then be murdered immediately after as they carry the same sentence.
2. Ignore it and hope it goes away. This is pretty much what we do now - nick the ones who get reported, take out some low hanging fruit and tell each other comforting lies about how they're all sick and evil and therefore beyond help. Anybody who watches the news in the past 50 years probably realises that this is not working even a little. There seem to be more and more paedophiles rather than less.
3.. Be an actual adult about things, hold your hands up and acknowledge that this is a societal problem which we don't know how to deal with. From that point, devise solutions based around mental health and sexual psychology including substitution like this is and find the best way to treat them. This is what we should be doing and will be doing in 50 years once the people in group one have died off and dwindled.