The thread as I understand it, is about people who are different to the norm, which paedophiles definitely are. However, not for one second would I suggest that LGBTs are any more likely to be paedophiles than heterosexuals, I wish to make that clear.
The test is, does a sexual interest or orientation do any harm to anyone else? If the answer is "no", then it's morally ok (though it may not be altogether desirable from the person's point of view, if it takes over their life and gets in the way of normal relationships: some sexual fetishes might fall into that category). Paedophilia, sadism, flashing, and raping obviously fail the test. Homosexuality, bisexuality, transvestism and some other orientations and interests pass. Some are in a grey area: attraction to obesity, for example. Obesity is unhealthy, but the fact is that obese people exist, and as long as the person with the attraction is not actively encouraging the object of their attraction to put on weight, it is probably ok.