Jewish and Catholic ecclesiastical law is subordinate to state and federal law. Sharia is not ecclesiastical only, it also encompasses criminal. This is what is being barred as not in comity.
You still confuse criminal with civil. If you violate state or federal law, you will find yourself inside a CRIMINAL COURT. If you are a Hasidic business man who sues another business man (It doesn’t matter if he is also Hasidic) for violating a contract freely agreed to that uses Jewish Law, you will find yourself inside a CIVIL COURT with a judge boning up on his knowledge of Jewish Law.