Everything you say makes sense. I know that there is a missing peice of the puzzle, and I know what the peice is. My problem is I can not prove anything. I do not know where to begin from over here. She is dead set on this, and there was no wavering. When I would make a logical point, her only answer was "I'm sorry, this is how I feel". You can't argue with that.
You didn't read what I wrote. You DON'T argue with her feelings -- you say "I understand that's how you feel" -- but you DON'T have to just make your wishes and desires for your family subservient to hers. "I hear you; this is what you want. It's not what I want. We disagree on this."
That is not an "argument." That's a principled disagreement about the potential break-up of your family, and how you and your kids will spend the rest of your lives.