Im sorry but once you advocate yourself as a news publication, it should be taken with the obligation to report accurately and retract statements when they are otherwise.
This doesn't so much go as to "news" pages for things like personal sites, but if you are posting news as a business, publication, or any form of formal organization, you should be accurate in your statements. Religious aspects would obviously be conflict as anything they can post could be arguably fall into question. Exemptions for non-hostile messages based on beleif/religion would be posted in that case. But what goes on at news organizations is greatly characterized in the movie Good Morning, Vietnam with Robbin Williams. News articles and publications deemed detrimental by the holding party are withheld from the public or shown in a skewed perspective or with an overbearing presenter/orator.
Fox Channel has the right to display programs they feel is in line with their message. Fox News is the news channel for those who generally follow the political ideology of the Fox News executives/boards/committees, etc. Fox itself has freedom of speech, but I believe that again, taking on the mantle of a NEWS agency, Fox News (and ALL FORMS of News Publications) have a responsibility for providing non-biased news to its viewer-base. If Fox so wanted a voice for its political aspirations like any main-stream celebs, Glenn Beck, Limbaugh, etc, they should be on a channel expressly designated as a purpose other than News Publication.
Sorry but try and refute that.