I am really sorry you are going through this. I would suggest contacting an attorney and begin divorce proceedings to protect yourself from his apparent poor judgement.
As far as contacting the Church, ask yourself what you hope to gain by doing that. You may come up with a good list and be encouraged to move forward. On the other hand, your list may be not so great. To be truthful, your husband sounds like he is in a bad spot in his emotional and spiritual life and he is trying to find out how to heal. People don’t go through RCIA just for the fun of it. Of course, if he has lied his way in, that is not the right thing to do. I am not saying it is. But if he is there, it is most likely because he realizes he is broken in certain areas of his life and he is trying to fix it.
If you are able to have a conversation about it, willing the best for him, then perhaps you can guide him out of that mess. But only try to do it if you are at a place where you are moving on with your life and don’t have any further expectations of him.