I would guess under obamacare, labor laws would be forced by the government and religious hospitals would be forced to hire those outside the religion, gays, etc.
The hospitals wouldn’t have any problem hiring people who are not Catholic, and wouldn’t even have a problem hiring someone who is homosexual; the EEOC already controls that as part of hiring regulations. My thought is that they are looking at Obamacare and seeing being forced to do sterilizations and abortions, at the threat of losing medical standing, or any Federal funding, at all.