If a lawyer is a witness to a crime that their client committed, and is involved in proceedings related to that crime, they have to recuse themselves from representing the client. They literally cannot be that person’s lawyer anymore. They keep all information already held under attorney client privilege, but any future information is no longer protected.

Privledged information is protected, yes. Not other information.

They also have the bar - a legal association…

An association of legal professionals, not a legal association. It is private.

…specifically dedicated to ensuring that lawyers all comply with the law. If they break the law in the course of their duties, the association exists to prevent them from ever practicing law again.

Sure, I’d advocate for something like that, though the clergy does have administration that regulates them also. You can argue they should be more strict, but it does exist.