It's obvious there's problems with either rate you'd choose for either task.
We have varying degrees of exposure / vulnerability within the populations. Neither one really directly leads to a "risk per unit of exposure of child" or "risk of a given person being an offender".
But it seems like you have some pretty motivated reasoning going on: it sure looks like religious organizations have not done well, and are relatively likely to be much worse per unit of youth exposure.
An important fact that gets overlooked is that religious organizations are one of the few aspects of civil society that put children in contact with adults. Really the only secular organizations that do so at a large scale are daycares, schools, and sports. It makes no sense to assert, as OP did, that churches are especially full of pedophiles, without offering a comparison against the other environments where children are exposed to adults.
Religious organizations have a) smaller number of personnel, b) fewer youth contacts in total, c) lower hours of contact per average youth than your comparison organizations. We can debate about the importance of each of these in the denominator, but they're all signifiers.
Worse, you're trying to compare numbers for schools that include student-on-student sexual violence (the vast majority of cases) to complaints against staff and clergy for churches.
The expectation is higher in the first case, but then chances that it's your particular kid would be 1/group size. So I guess it would be more accurate to have 5 kids in the first group to make it 1% vs .95%. That's still not any better is it?
Do you rather have your kid to have big N% chance of being abused, or small n%. At a micro level, you might get more control, but at the macro level, the results in aggregate are what matter.
The core complaint isn’t that the Church has more perpetrators, but rather that by protecting the perpetrators they increased the number of victims per perpetrator.
Example from the day before yesterday: "5 school employees arrested for alleged failure to report student's sexual assault"
https://www.cbsnews.com/miami/news/5-school-employees-arrest...
Bonus one from a couple months ago: "Knoch Primary School principal charged with failing to report alleged sexual abuse"
https://www.cbsnews.com/pittsburgh/news/knoch-primary-school...
https://www.king5.com/article/news/local/bellingham/school-a...
If teachers are willing to cover up for random child molesters in the community what do you think they'd do for one of their own?
Hang them out to dry, as should be evident by your failure to find examples.
Teachers failing to report student on student violence isn’t actively protecting perpetrators the way the church was reported as doing. Church administrators would move pedophiles to new communities multiple times after accusations showed up. It’s a very different situation.
From a few months ago: Oversight failures allow sexually abusive teachers to quietly move from school to school
"It's called passing the trash," said Morgan Stewart, an attorney representing students who have accused teachers of sexual abuse at Redlands Unified District schools. "They'd give them recommendations, they'd give them approvals. You've got this culture that just allows it to happen again and again."
Failing to report reasonable suspicion of sexual abuse is a crime, yet federal officials and experts told CBS they believe school administrators often do not contact authorities for fear of damaging the reputation of a teacher or the school. And teachers told CBS they observed a culture that discouraged reporting suspicions of misconduct in their schools.
TLDR: This practice is repeated in schools across the United States, risking harm to millions of children, according to experts and federal officials. On average, one offender passes through three different school districts before being stopped, and can abuse as many as 73 children in their lifetime, according to a 2010 report from the U.S. Government Accountability Office.
https://www.cbsnews.com/news/oversight-failures-allow-sexual...
Nationwide fingerprint checks really should be mandatory here.