If they want to broadcast the call to prayer to Allah, they could just as easily distribute to all of their faithful little radios (like the weather alert radios) that come to live and broadcast when activated. So every believer in the god of the black rock could hear it at home as loud as he or she likes, but the neighbors could sleep the sleep of the just undisturbed.
If they get away with this, every Polish Cathedral in Hamtramck ought to be allowed to broad-cast the Angelus... ( which I believe is only 3 times a day....)