Now you're trying to conflate an actual religious institution with a mere business. These are not things that are treated the same. They never have been treated the same in this country. An actual religious organization will actually get MORE slack because genuine religious oppression is a sacred cow here.
This "religious freedom" law is nothing more than a sham that allows any bigot to scream "but religion" any time they want to justify their bigotry. It doesn't have to have ANY thing to do with whatever religion they practice. It could even be CONTRARY to the stated doctrine of their own religion.
The actual governing body of what ever religion these bigots practice might want to chime in here and confirm or deny that their doctrine supports (or demands) discrimination against any person or group.