For arguments sake I will substitute a few words...
If you really loved ham sandwiches everyday for lunch and thought they were nutritious, and you work for a Muslim university. Said university does not allow pork products in their facilities because it is one of their core doctrine beliefs. Why should the government force the Muslim.university to go against their core beliefs ?
It's not the same example I know...but maybe by.removing the sex out of it people will pay attention to the intent of government intrusion and worry less about words like condom and barrier method and angry white guys depriving women.