Stop thinking about what she may or may not be thinking. What is the right thing for YOU to do? If you want to move, then do it. You can't "pursue" your GF if her H is in the picture.
She has to make that break. She is the one who is M. Not you. You two have children together which obviously isn't enough to keep her with you and she's made no move to get a D from her H.
Start doing what YOU want to do and see what happens. If you say her H is such a loser, why is she with him? She comes up with all these lame excuses about him AND you.
Plot your own path and see if she follows. You can't MAKE her do anything she doesn't want to.
M-43 W-40 2D - 9 and 5
Emotion, yet peace. Ignorance, yet knowledge. Passion, yet serenity. Chaos, yet harmony. Death, yet a new life.