So we're back to the key point of dissension, and how this relates back to police - we've agreed that there are situations where it is plausible the cop/teacher didn't violate any rules but is unable to prove their innocence. These situations won't come up frequently but they do come up. In those situations you believe the cop/teacher should be fired, I don't.
I don't necessarily have a problem with you having a different position - there's no answer here that works in all circumstances. But I'm overall a pretty lenient punisher - I think most prison sentences are way too long, and I worry about putting people in positions where they can no longer be useful to society, like, someone who went through training to become a cop, and is well compensated based on his/her long career as a cop, then suddenly needs to find a new job/career because they were wrongfully accused in a scenario that was out of their control. And overall, a big thing for me is that the cop/teacher can't be guaranteed of getting away with it in most situations described - they are still in a situation where there's a pretty decent likelihood they are caught red handed (i.e., in a classroom, open door, or for a cop, bodycam on). However, on the other side (this applies to teachers, not really to cops), it's pretty easy for an accuser to falsely accuse when there's no way to verify their accusation.