This is about power. Your wife's reaction is indicitive that she knows how much you love her. She knows you adore her. She is using those truths, to get HER WAY, you restoring her status quo--you going back to KH. She has some kind of resentment towards you, she is punishing you.
My advice would be to stop begging. Take some of the power away. She will retreat. #1, once she realizes that it is illegal to take the kids from you, that would be kidnapping if you file a seperation. Get a parental cooperation order in place right away. My guess is that she will be back home very fast.
No friend wants a grown woman and two needy kids (cute I am sure, but kids are kids...) living at her house. Does your wife have skills, a job?
I would go on your computer and try and see what she is looking at online. Just saying...do some investigative research. Check her phone and text messages.
I am so sorry you are hurting. My heart breaks for you. This is temporary pain and is horrible I am sure, but it will get better. She cannot keep this up without softening at some point.
Why is she out of love??? Has she withdrawn, do you really believe that?
She is being a martyr right now, this will wear off. Hang in there, be strong, and take away some of the power.