Go to church is a good choice!

I have a couple friend who even had the similar situation as you, finally the wife was brought to the church and believed in God, then the father, finally they have a stable family now and have third child.
Something are up to you, If you still love her? Or even you don't love her any more, but for your children, you want to suffer, this would be very tough for you. Otherwise, if you think no matter how, in the future, your family would break, then you may choose to stay in USA or go back to China.
Better to tell her seriously and directly, warn her that she can't play game.
Thinking about it and chooce which way you want to do.
Good luck!