Is the Fox News motto still "Fair and Balanced?" I think having a motto like that claims rather strongly that you are unbiased.
Fox News and program hosts are clearly hawkish in their conversations and in their anti-liberal talking points.
Rupert Murdoch is the world's most powerful media mogul (NewsCorp). He must think the world and Americans are stupid enough to believe him when he says his empire hasn't really done anything to shape political agendas. News organizations, like his (as he says in Leira's YouTube post) can only shape the agenda "in a limited way".
NewsCorp beams their programming via satellite to 40 million subscribers worldwide. NewsCorp also has Fox movie and TV studios, cable networks, newspapers, several book publishers, and more.
You don't acquire all of this media worldwide and NOT want to control a message or promote an agenda.