Of course, there are acts that are crimes under church law, but not under civil law. (E.g., where minors are not involved.)
The state doesn't have the authority to remove a man from the priesthood; only to put him in prison. Similarly, the church (outside of the Vatican) doesn't have the authority to put a man in prison, but only to remove him from the priesthood. I think you and I probably both want it that way.
When the Church was performing inquisitions, they began legal norms so folks wouldn’t be as unfairly found guilty. Centuries later critics want the accused lynched and shot immediately. Legal process takes time...too long for the true victim, be it the claimant or the accused. More staff should be had. Problem is the Church’s job is offering forgiveness to sinners...inhibits investigation ruthlessness that is needed. Immoral clerics in the beauracracy compounds every failing.