I have had nearly the exact same experiences as you on this issue. I came around on my thoughts on CP -- I as well now think that CG CP should be legalized.
But I've been thinking recently: if pedophilia is truly something as legitimate as homosexuality, for example. Or, more specifically, if it should be recognized as an acceptable state of man. I emigrated to United States about 12 years ago, and I've observed a marked change in my sexual preferences (from dark skinned females to lighter skinned ones; I suspect mostly due to western media's influence), so, I'm compelled to think pedophilia is definitely something that could be controlled given that one is in accommodating conditions[1].
I'm these days entertaining the idea that pedophilia is usually a result to childhood issues -- mistreatment by parents, other kids, etc. I'll see if I can find any research that corroborates this.
In any event, I think one thing is for sure: the current mob-lynching fest is the worst imaginable scenario. A more soft approach that encourages paedophiles to consider cognitive behavioral therapy instead of hiding in forced isolation would probably yield the best overall results to society.
[1]: Wikipedia has a lot to say about treating paedophila: https://en.wikipedia.org/wiki/Pedophilia#Treatment