Neither post #21, nor my reply to it,in #25, make any reference to abortion. I fail to see the correlation in your response. Regardless, my answer to your primary question is - of course NOT!
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."
Whether or not you happen to be accurate in your observation as to #21 and #25, this thread IS about Mitt Romney purporting to have the right to require Catholic hospitals to commit abortions by chemical means. He has no such right and rape (even the ordinary understanding of the term as knockdown/stranger/alleyway) does not justify the murder of the baby who is a third party. Feel free to disagree but don't expect me to change my mind as to murder.