How do I divorce and get alimony from my bigamist husband?

My husband and I are both from Algeria and have lived here in the U.S. We both have dual citizenship and he regularly goes back to Algeria to visit family and do business there. I found out that he started a relationship with another woman in Algeria and married her on one of his recent trips. I want to divorce him but he says I cannot because under Algerian law, he can have more than one wife. I do not consent to this marriage of his. What needs to be done to divorce him and because he makes all of the money in our household, can he be required to pay me alimony and support me? I was a teacher in Algeria but gave up that job to come to the United States and raise his children.