“Are they required to accept testimony from apostate moslems in America?”
Ah, clever slander directed towards Rabbi Avi Weiss, who even according to his most bitter enemies such as Rabbi Pruzansky is a kosher eid. Nobody who is actually Orthodox could question that.
“Some Muslims want a situation similar to what exists in Muslim countries in which Muslims would be required to use shariah courts and they wouldn’t be a need to gain their consent. That is very unlikely to happen. “
As I mentioned, that is the law in Israel.
“The danger is some people want to make it illegal for a Muslim court to exist and such laws would prohibit arbitration according to legal system other than American law – such laws would probably violate equal protection, freedom of religion, and right of contract and would severely restrict the rights of Orthodox Jews, Catholics, Eastern Orthodox, and many groups of businesses that rely on private arbitration according to non-US law (which include major companies engaged in international transactions).”
This is exactly the problem; it is exactly what happened in Ontario, Canada.