This is not about a woman going to a beit din to get a get (religious divorce), or a Muslim "court" deciding whether or not something constitutes interest that is disallowed by sharia, or any other civil matter. This is about cases that go to a US court for adjudication.
More precisely, this is about a sitting US judge at any level referencing Jewish, Muslim, Vatican or even Scottish civil law to decide an American case. The judges swore an oath to protect and defend the US Constitution and the laws under their jurisdiction. I would be as pissed about a judge referring to sharia (as has already happened in this country) as I am about Justice Ginsberg of the SCOTUS referencing foreign law as a basis for deciding cases (as she has done). It is wrong, it is illegal and it is another reason why the legal system is broken.
I have no problem with this law, and if they were to remove the word "sharia" and simply say that US judges must abide by their oaths and not use any non-US law or directly reference any religious source material in determining their cases, I would like to see it passed.
FQ, once again you are showing your true colors. If a judge routinely quoted the Bible in his or her rulings, you would be among those calling for their head. Why then would it ever be OK for a judge to reference the koran?