perfectly logical

But if you consider them all together, it starts to fall apart.

Not really. Look at all those questions, and ask what "normal" (i.e, stupid) people think about each subject:

Is is better to be short or tall? (Why, tall of course.)

Pedophiles tend to be shorter than average.

What do you think about fans of Star Trek? (They're pretty weird.)

Pedophiles love Star Trek, probably because they identify with all those weird space monsters.

Is it better to be smart or stupid? (Smart, of course - and I'm smart, so they had best agree with whatever I think or they're dumb.)

Pedophiles have below average IQ.

Is it better to be right-handed or left-handed? (Right-handed, of course. Why do you think some societies killed left-handers? Why is something of dubious nature called left-handed, why is something bad sinister, why is a social gaffe gauche?)

Pedophiles tend to be left-handed.

See, it all fits together logically. Whatever people don't like or are scared of, that's what they call us.