In other words, it's more like "If I work as a cashier at a store, and I refuse to serve a customer because I'm lazy or tired or don't like the look of him, I can be fired. However, the government has now put in place a law that says that if I can say I refuse to serve a customer because of a *matter of conscience*, my boss can't fire me, no matter how bad I make his store look or how much money I cost him thanks to my matter of conscience making it impossible to do the job he hired me to do."

This is the kind of thing conservatives tend to get really pissed about in other contexts, but to rally around and defend when it's in the interests of social conservatives. (Imagine how the mainstream evangelical community would react if we were talking about a Jehovah's Witness doctor's right to refuse to perform blood transfusions, or an atheist doctor's right to refuse to perform fertility procedures for Quiverfull Christian parents.)