I understand the emotion, the feeling that you absolutely need to get out of the toxic environment of living with someone who has already checked out on the relationship. It is brutal. However, you are giving your W all the power here by agreeing that IHS won't work. You can't control her. You can't make her leave the house, so you are going to let her stay so that you can escape the emotional burden. But that also means that you are leaving YOUR house, leaving your kids, because SHE doesn't want to be married or is confused, or whatever other BS emotion she is feeling at this moment. You are taking away the natural consequences of her actions and letting her enjoy the fruits of the MR (house, kids) while also walking away from the actual MR. Of course she is going to push for that, and do whatever it takes to push you out so she gets it. It's not just a question of fairness or being in the right, it is going to make your life materially worse to have to move from your home, away from your children.
Don't let your emotions make this decision for you. I did, and I regret it. Take the time to really consider what is best for you and your kids (forget about the MR for now) going forward.
W 34 Me 42 Married 7 years together 8 0 kids 1 beloved dog BD 4/6/2018 I moved out 4/7/2018 I moved back in alone 8/05/2018 I file 3/06/2019 D official 5/7/2019