This one is tough to classify, primarily because it is so bold and shameless. As the video above argues, Tom Donilin, the national security advisor, is unfit for service because of his absence during the events of the killing of several diplomats in Benghazi. The problem with this argument, however, is clearly demonstrated by this picture:
So basically, Fox News ran a story with images that debunked the very story they were trying to tell. This is probably best categorized as Bullshit, which is a from of deception in which the deceiver has no concern for truth or falsity. Basically, all Fox News cares about is attacking President Obama. If he is guilty, great, but even if he is not, they will continue to attack him and just make up charges and accusations in the hope that one of them will stick. Unfortunately, there is some evidence that this is a successful strategy as many Americans seem to operate under the belief that where there is smoke there is fire. The folks at Fox News figure all they need to do is generate enough smoke, even if it is completely make-believe, and the ignorance of the American electorate will do the rest.