None of us have the right to ignore the law based upon our own convictions or personal religious beliefs. I, for instance, can not refuse to pay taxes, despite the fact that my government is using that money to commit mass murder.
Religious freedom is not a free pass to do anything you please. If secular institutions are being run by religious people or organizations than they have to follow the secular law, not their own biblical law. If they can not perform their duties due to a conflict of interest than they should not be working there or running that organization.
If people want to be ruled by religious law, they need to move to the Vatican.