rewarded

ok, first - not sure how your tag relates to your question...but...

MI is a no fault divorce state - she can leave if she wants to without recourse. It is not abandonment. Depending on how long she is gone it could affect her share of the equity of the home, but probably not. She still retains rights to the equity.

You do not have the right to put the home up for sale until a judge gives you the permission.

She will not be responsible if you choose to file for BK, or hire an attorney.

Spousal support depends on a lot more than what you wrote here, she could still be entitled - I can't answer that.

I suggest you file for divorce and request exclusive occupancy, care and control of the marital home & full custody of the kids...

considering she walked out on you, I don't think you need to worry about the court being "unfair" to you as a father...