Do you work Greywolf? You say you are happy sending her to work.
This is at least the second time you were caught, she has no trust. To rebuild this is not at all easy.
I believe "you" need to go to counselling to establish why she is not enough for you, within your life, why you have the need for other women.
You say she is Christian and for that reason she won't Divorce. She has set her rules, you are the Father of her Children and at this stage, that is all she wants from you.
You need to change, get help, before you can even convince her that she is worth everything in the world to you, if she is...
Or is it "face "on your side, or is it just sex on your side that you really want from her, or is the "close to your heart" mean you truly love her...