Fox News is reprehensible and amoral. They should be shunned, shamed, and made the target of ridicule everywhere they are known.
But the government should not be in the business of deciding who can and cannot "broadcast" news. It doesn't matter how much you trust their judgment now; the question is "How would government by a party diametrically opposed to my values, morals, and beliefs decide what news I should and should not see?"