Yes, he will probably get to keep the home (if he wants it), but you may be entitled to some of the equity (money for a portion of the value) if there is any. You should hire a divorce attorney to assess your situation and what assets you might be entitled to.
From what you have posted, there are major issues here that an experienced family law attorney could easily and effectively address. Your decree and other documents should be reviewed to determine the extent of the violations. I am skeptical that someone with this pattern of conduct will show up for the court hearing. If he does show up, you should be ready to defend against untruthful allegations. These sorts of situations get complex very fast.
Off the cuff I see the following potential...
There is no way to give you an accurate assessment of your possibilities of defense with such limited information, and you SHOULD NOT DISCUSS further details here in a public forum. It sounds to me like you need an attorney and should consult with a criminal defense attorney privately ASAP.