If this society wants to go to hell in a handbasket with 50 million dead babies by surgical abortion alone and probably ten times that many dead from chemical (abortifacient pill) abortions, that does not yet mean that a society with our First Amendment may require Catholics to repudiate their Faith in order to run hospitals.
That which prevents implantation in the uterine wall is every bit as much an abortion, a homicide, a killing, a murder, as is surgical abortion or blowing your spouse's brain to kingdom come in order to avoid the expense of divorce, or following the professional ways of Mr. Tookie Williams, or acting as did Charles Manson and his "girls."
I hate to be a downer, BlackElk, but they're making an awfully strong try at doing it. Unfortunately, the imaginary "right" to abortion overrides every genuine, enumerated right in the Constitution.
Equally unfortunately, Catholic (and "Catholic") as well as other Christian social service organizations have surrendered to state power on so many other moral issues that they haven't cultivated the moral fortitude or logical clarity to stand firm on this one, I'm afraid.