It isn't that the pro duck adoring worshippers IGNORE THE FACTS. It is rather than they only believe what the duck says is factual. See?

Duck is their one and only source of truth. Why? Because he told them he was the one who could fix everything. He is the chosen one. That what they see and hear is not what is happening. Only what he tells them is happening is happening. So you can see why their "facts" aren't exactly in concert with THE FACTS can't you?