I don't think you can do Chap 7 when you have a fair or good amount of equity in your home. The trustee will make you sell it to pay off/down your creditors first.
Please don't feel hopeless. There is ALWAYS hope.
I don't know what God's purpose will be for this is in your life as satan attacks your family but I do know you will make it. Your wife might be lost for good, but through faith and a tireless love for your children YOU will be ok.
I wish you could talk her into letting YOU have the marital home. Then "saving it" makes sense as you can then protect your equity position. Catching up so she can stay there makes no sense. She needs rock bottom and you need to protect your kids best interests because she doesn't care about anything but herself these days.
The internet is 90% complaining and entitlement and I hate it because I deserve better!