Angela,
Sorry you've had such a hard time. When my husband and I considered our options of where to live (he's english and i'm american) we found that visa wise, getting a visa to live in the UK is WAY easier than him getting one to live in America. It only took 7 business days to get mine back. The fact that you have children together is on your side. I think your chances are very very good of getting a visa if you can prove that it's not a marriage of convenience and that you are genuinely in love. If your children are dual, i'm almost 100% positive they will give you a visa. They wouldn't seperate your children from their mother. Make sure that no matter what, you tell the truth. If they catch you in a lie, you will definently be denied. Tell the truth no matter how scared you are and things should be okay for you. Good luck!