It's hard to believe there is so much in your little post, "Two Rights Don't Make A Wrong," that I disagree with.
You say I have no problem denying the right of women to purchase contraception. I'm not preventing anyone from purchasing contraception. Go ahead. I am saying the Church should have no obligation to offer it. If I owned a newstand I have no obligation to sell pornography and the New York Times just because they are legal. If a consumer wants to buy pornogrpahy or the New York Times, they have ample opportunity to do so. Why do I have an obligation to sell them just because someone wants to buy those items. If someone works for the Catholic Church, there is nothing that prevents them from purchasing contraception. How is it I am denying anything to anyone? How is it I am imposing my will upon another? If a worker finds access to employer-sponsered contraception so important, I would suggest not working for the Catholic Church.
We are throwing around "rights" as if they were M&M's. You have a right to purchase contraception from the Catholic Church? Really? You have a right to purchase contraception. I have a right to sell contraception. But you have the right to purchase contraception from anyone involved in health care?
The glib answer to the question above is yes. Which brings up two other issues that touch on the discovered right of HHS to force the Catholic Church to offer contraception to its employees. We are beginning the descent into the Affordable Care Act, aka Obamacare, aka The Abominable Care Act, aka AbominableCare. We are beginning to discover, as Nancy Pelosi famously said, just what is in this Act. The initial returns are not positive. The CLASS program is bankrupt before it starts. It is clear if you like your health insurance you may not be able to keep your health insurance. Bending the cost curve is an illusion. And now a major provider of charitable works will be forced to choose between its principles and its good works.
The other issue the "right" to purchase condoms from a Priest brings up is, "Why do employers offer health insurance to begin with?" Because during WWII, wage and price controls resulted in companies offering health care as a non-cash benefit to attract workers. One horrendous government decision has led to an elaborate distortion of the market that we are paying dearly for today.