The way I see it is that pedos are the perfect thing for the childlike, immature psyche of republicans to focus on and unify around as the evil baddies they have to fight since an actual pedophile is one of the closest things to a disney evil villain who is evil just because.
Republicans really can’t emotionally handle problems in life being more nuanced and complex than a secret cabal of pedophiles that have to be righteously hunted down in witch-hunts. That is satisfying, that gets Republican’s to sit up and pay attention because they get to hate without feeling guilty about it.
Republicans actually can’t handle the world being complex and nuanced, they can’t handle solutions not involving them rolling out a vile hatred for people, so fighting pedophilia is one of the few places left republicans can retreat to, gripping onto their pathetically simplified and hateful world views.