There is a book floating around about the ]] in this country. You should pick it up… Until then, check out this 1990 Supreme Court Case:
Justice Antonin Scalia, writing the majority decision in Employment Division v. Smith:
We have never held that an individual’s religious beliefs excuse him from compliance with an otherwise valid law prohibiting conduct that the State is free to regulate. On the contrary, the record of more than a century of our free exercise jurisprudence contradicts that proposition.
When followers of a particular sect enter into commercial activity as a matter of choice, the limits they accept on their own conduct as a matter of conscience and faith are not to be superimposed on the statutory schemes which are binding on others in that activity.
That last part is the kicker… If the statute allows that other hospitals or institutions which serve the common good, profit or non-profit, must follow certain rules, such as insurance coverage for birth control, then even those who exercise moral prohibitions against such results of the statutes will be required to obey the statues.