This Duck Dynasty issue is NOT a Freedom of Speech issue. Freedom of Speech means you can say whatever you wish without fear of prosecution or reprisal from GOVERNMENT, it does not mean you can speak without consequence. They are not in fear of persecution from Government, they were free to say what they did. The Duck Dynasty guys are employees, and just like any employee at any place of work has terms of employment and an almost universal one is when you speak in a manner for your employer, you must follow their wishes. The Duck Dynasty guy was giving an interview about life, but also the show, meaning he was acting as a voice for A&E. He must then abide by the terms the employer sets, and if they do not follow them the employment can be rightfully terminated or suspended. In order to have order in a society, these are things that must occur, you cannot have employees screaming at bosses or not doing their job expecting no consequence under the guise of freedom of speech, that is not how it works. They signed a contract as employee-employer, it was violated by the employee, pure and simple.
You most certainly do not have to agree with the Duck Dynasty Guys or A&E, but it is not a suppression of Freedom of Speech. He was able to speak as he wished and is not in fear of prosecution. It is a matter of how A&E is wishing to protect its name on the conduct of one of its employees, that is the real issue, not Freedom of Speech.