Just curious. They are the propaganda arm of the terrorists, and if we were serious about combatting terrorism--which we profess to be...
1st rule of war. Never ever destory your enemies means of communicating with their followers. With out it, they can only surrender themselves. What is important is for all their followers to surrender. It is one reason we did not destory Tokyo Rose, or Lord Haw Haw in World War II. It was important for Germans and Japanese leaders to be able to tell their own people that they had surrendered. Lots of their followers would not have believed they surrendered, if their only source of info was us. We wanted them to lay down their weapons when their leaders told them too. That is what they did.
One other factor in world war II was that during the period of 1939 to 1943 the German people believed everything that Hitler told them in his media. But by 1944 even the Germans could see that Hitler's media was lying and the Voice of America was telling the truth. It was a major factor in destroying the German will to fight.
How do you prove to people that their leaders are liars, if you don't let their leaders lie.
Those two reasons were the logic in not destorying their media. It worked before. It will work again.