First off, statistics on this is so loaded and messy we have to be extremely careful what it is we are measuring when we're looking at the numbers. Usually it's just people convicted of it. Which is only part of the story. Or it's self reporting, another pitfall, or it's accusations. All of these have statistical problems, making the true numbers dubious.
Pedophilia is rare to the extreme. Adults who are attracted to pre-pubesents is so rare and so low that the numbers are unreliable. There's also so much stigma around it that study of it is hard. It's similar to studying psychopathy. Those suffering from the diagnosis have zero incentives to allow themselves to be studied. The only pedophiles we know anything about are those who got caught. Well, that's a special self selected group. They also want to get out of jail. Which will warp the answers they give. That will warp the statistic. For all we know, most pedophiles might never act on their desires and just suffer in silence their whole lives. We really don't know.
In the media pedophiles are habitually conflated with hebophiles. Hebophiles are attracted to pubescents, ie teenagers. Which is completely normal. We (adult men) don't avoid flirting with teenagers because we find them unatractive, but because it's inapropriate. This habitual conflation makes medias reporting on this, pretty much, worthless. And in some countries, like the country I am living in, hebophilia is completely legal. I could legally date and 15 year old in Denmark. It's barely even frowned upon. Denmark is extremely liberal when it comes to sex.
And lastly, desperate people might do things they wouldn't if they weren't desperate. We often develop an attraction to people we have access to. This is the Catholic church dilemma. The sex drive is powerful. If priests are not having sex at all, but have access to all these children, then our brains are likely to start warping towards that we have access to. So the problem isn't that they started out as pedophiles but that they live in celibacy. But they're made pedophiles by the cultures. This is also an incredibly easy problem to solve. Stop letting your kids be with priests unsupervised or let them start dating like normal people. It's the same psychological mechanic behind homosexuality in prison.
The most common form of child molestation, ie drunk step dad, isn't the result of pedophlia, but other factors.
"There are motives for child sexual abuse that are unrelated to pedophilia,
[78] such as stress, marital problems, the unavailability of an adult partner,
[95] general anti-social tendencies, high sex drive or alcohol use.
[2]: 4 "
en.wikipedia.org
When those other factors are solved, the child molestation stops. So we should perhaps focus on that instead? Ie in general making life more bareable for everybody. Win - win.
Basically, the enemy is social problems in general, not some special predator class we have to be on the lookout for. Pedophilia is extremely rare.