The "Cure" for Paedophilia will be VR
First off, major kudos to the AC who shared his own judicial nightmare with us.
this is actually a prediction I made before the turn of the century. (http://www.fullmoon.nu/articles/art.php?id=god)
Once VR is genuinely full immersive (a la "Matrix" rather than the cheesy VR helmets which we will sneer at in years to come) and operating at so called "gestalt" speeds (so we genuinely have no sensory means of identifying fact from fiction other than the ability to step back out of the fiction), human sexual desires of all kinds will be much more deeply fulfilled by the VR world than the real world could ever manage.
This will be equally true for paedophiles. They'll be able to whistle up whatever they need to satisfy their lust to a much greater level, in much greater safety and, importantly, with zero impact on any other human beings. A major consequence of this will be the end of the recruitment cycle which research tells us is responsible for the perpetuation of paedophilia. If "real" humans stop being abused in their formative years, they'll stop becoming paedophiles themselves and the problem will gradually fade away.
The only obstacle I see to technical progress to such a solution are the Authoritarians continuing down their road towards "thought crime" where they have begun to criminalise such things as creating your own images (even drawings or paintings based on your own imagination) if such images are of subjects which, in the real world, would involve child porn (http://tinyurl.com/npxvvh5). Taking such an extreme legislative position crossed the rubicon and defined the first legally recognised "thought crimes". We should have had riots in the street but, of course, we didn't because it was only those nasty peedos, so who gives a shit? The next steps will be the criminalisation of thoughts about blowing up Parliament and the like. Just the sort of thing which will make a lot of us want to blow up Parliament...
In any case, even if I'm right and VR eventually eliminates Paedophilia, other problems, of course, will arise in its place. Like: how is the human race going to procreate if everyone is getting their rocks off in VR? And, before you reject that option as wild speculation (also part of the same essay) check out what's happening in Japan right now even before we get the serious technology...