The problem is, the things that would actually prevent CSA require things like "giving children rights", "widely mandating effective age-appropriate sex education even for young children", and "admitting that it's mostly not scary strangers doing it."

These are utterly anathema to huge chunks of society, especially American society. It's more and more clear, from the scope of the Epstein Files, just how much of American society and government has been influenced specifically to enable easy access to children by rich white men. Even beyond that, the entire right wing would instantly catch fire if we actually required effective sex education. Especially age-appropriate sex education going right down to kindergarten (yes, kindergarten: the better children that age understand what's normal and safe, the better they can communicate when someone is doing things to them that are not that...and I only stop at kindergarten because AFAIK that's the earliest mandated schooling still). Similarly, the right wing desperately wants to have absolute control over their children—treat them as property—so giving children rights that even parents have to respect will get them to oppose absolutely everything.

Plus, as other sibling comments have already noted, the real desire here is for ubiquitous surveillance. CSAM is just the excuse they use.

Somehow, even something as simple as "age-appropriate sex education going right down to kindergarten" would tend to end up "special interests education from vocal minority groups."