You are telling me if you owned a TV station, you would never fire anyone for expressing any viewpoint you strenuously agreed with?
Sure, I might. Depends on what he said of course.
I believe A&E has the legal right to fire any employee for just cause, so whether they can do it and whether they should are two different things.
Robertson said homosexuality is a sin according to scriptures, and basically that he agreed with what he considers his God to have said about the matter.
Are you saying that an employee should be fired for quoting biblical passages and/or saying that he happens to agree with what the Bible has to say about a topic, especially if he said those things off-site, on his personal time away from the “job”?
Again, if he had advocated violence (eg advocated a Holy War or death and destruction against all nonbelievers, etc) as you mentioned in your weak analogy, then by all means as owner of the TV network, you’d want to fire any such employee forthwith so as to not be associated with him in any employee-employer relationship.