How do I stay in the United States after a divorce?

I am from Lebanon and have been here in the United States with my husband, raising our two sons. I don’t work because my husband would not allow it and wanted me to stay home with the boys. My husband is saying that once he gets the divorce he is going to send me back to Lebanon where divorced women have almost no rights. I have lived in the U.S. for over 10 years. I need to know my rights in a divorce and what rights do I have to custody of my sons. My husband works all the time and travels, there is no way he could care for our boys if I was not in the home. Can my husband force me to go back to Lebanon if we divorce, and what do I need to do to keep custody of my boys?