"The only option I can think of would be requirements around safegarding set out in law."
Indeed, and that's being accomplished in many states, and the work continues, as lawmakers add clergy members and church workers to the lists of "mandatory reporters" who will suffer criminal consequence if they fail to report sexual abuse they hear about or know about.
It's a long road in the U.S., though, because each of our 50 states and a handful of other independent jurisdictions pass and administer their own criminal law. It's possible to make some offenses federal and thus uniform but the legal burden is high, and in any case, Congress is all but incapable of passing laws right now because of partisan gridlock, and probably will be for the foreseeable future.