I will be brutally honest. I frankly don't see how "Arts & Entertainment & Croissants" channel even showed Duck Dynasty in the first place. One would think that their "base" of socialist elites would have had major campaigns trying to get the show kicked off the air throughout its run.
Frankly, I think that A & E & C wanted the $$$$$ that was coming in from the Tea Party crowd and hoped like hell that nobody started a campaign to ban the show from the left. A & E & C's executives probably had to wage a secret campaign of their own to keep their own base from raising a stink.
So basically, this was a case of having two bases, each of which has nothing to do with the other (socialist gays and "Tea Party types"), that A & E & C had to have a very challenging balancing act to appease. Once Phil's interview came out, though, the balancing act had to end, and one or the other base was going to be shitcanned.
So A & E & C had to go with either having to get a constant black mark by a gay group in bed with the socialist administration and socialist interest groups (while maintaining their profits), or by being newly "beloved" by those same groups and the Obama administration. Keep in mind that had they kept Duck Dynasty (and lets face it, if they ban Phil, the show stops), they may have been the first station in the cross-hairs of the socialists when Obama's Internet / Media regulations come out next year.
Oh, forgot to tell you: Obama is going all out Executive Orders. The cable channel industry is going to go in absolute disarray next year.