"However, being as there is "Duck Dynasty" merchandise being sold everywhere now, and plenty of like-minded people who support his homophobic stance, there is a fair chance that this will produce more, not less, revenue for the family."
There is also the Streisand affect, as well as the natural resistance to being told what to think and what thoughts you are allowed to say or not.
I think this is a real danger with all political correctness, whether private or public. And I am afraid I cannot agree that A&E is a fully private entity. Unfortunately we live in a world where my pocket is constantly being picked in order to broadcast 'public service announcements' to preach stuff at me that I disagree with and find offensive. A world where television broadcasters are certainly regulated, directly and indirectly, by the government. It's by no means obvious whether or not A&E would have taken the same step, were it a fully private entity acting in a free market.
I agree that the comments quoted here are ignorant and wrong, by the way. But I do not think that pillorying people for making such statements is helpful. What do you accomplish? You build up walls, you make people afraid to *speak* such things perhaps, but they continue to think them. So now you dont know who it is thinking these thoughts, since their expression is forbidden. You dont know who to educate, or just who to avoid. And they (rightly) resent the coercion and will look for chances to strike back. It's a completely counterproductive way to deal with it, it weakens and divides civil society.
The cure for bad speech is more speech, not less.