How do you solve a problem called pederast priests?

You don't, any more than you solve a problem of pederast public school teachers, or pederast plumbers or any other profession. The Church couldn't solve the problem, so it attempted to manage it. Which is why people like Gil Gustafson and Michael Stevens got paid:

After the Rev. Gil Gustafson was convicted of child sex abuse 30 years ago, the Archdiocese of St. Paul and Minneapolis made sure he was financially secure for decades to come.

The church continued his priestly salary and health insurance, covered his living expenses and psychological treatment and paid for his education and training, according to church records and a former archdiocese accountant. It has given him jobs in the chancery, helped him establish his own consulting business and steered clients his way.

In retrospect, that decision doesn't look so good. It's easy to understand why it was made, though. I'm going to start picking at this subject again in the coming days, but it's going to take some time.