I don't think that this might work. Andrew Cuomo is the AG of New York. I believe he is Catholic as is his father, former Governor Mario Cuomo. Think about how this might play out:
1) The AG announces an investigation of JW's specifically with regard to concealing the database.
2) The JW's respond in two ways. They sue the AG's office for violation of 1st Amendment rights (selective prosecution of a religious organization). They also begin a public information campaign to align themselves with other religious bodies to demand that the government not interfere with the internal working of religious groups. (In other words, they begin to portray themselves as victims rather than willing co-conspirators of child abuse.)
3) Catholic groups and others in NY begin to pressure this AG to drop the investigation. AG's poll numbers begin to drop.
4) The AG drops the investigation. JW's win a "moral" victory for religious rights and strengthen their hand against further disclosure.
Just a thought.