NAMBLA doesn't seem to be very active anymore, as far as most people are concerned, but there is a huge pedophile movement on the internet, in which former and current members of NAMBLA are involved. There is also a huge faction of pedophiles who are attracted to girls.
If you want to read about it, you can go to wikisposure.com for starters. This particular article will answer the question about whether they seek for their desires to be accepted and normalized.
http://wikisposure.com/The_Persecution_Delusion
In it are many examples of them comparing themselves to Jews, Blacks, Gays, etc. I thought some of you might find this interesting.
The Woodsman was a very good movie, but very very creepy, and I think it's probably a good example of how they are. But, no, there's no cure, and, furthermore, many of them, when asked, would not want to be cured. They like the way they are just fine. All they want is for the laws to change so that the age of consent is abolished and they can simply "love children." Right.