Barack Obama has stated that the U.S. is at war with al-Qaeda. I suggest that the interested reader search google on "U.S. supports al qaeda in libya" and then on "U.S. supports al qaeda in Syria". These will lead one into articles verifying that the U.S. has provided material support to terrorists that call themselves al-Qaeda or otherwise link themselves to this term, whatever organization of umbrella beliefs it stands for.
How can the U.S. be at war with al-Qaeda and be providing material support to it in overthrowing governments in Libya and Syria? It cannot. How can the U.S. be at war with al-Qaeda and maintain Saudi Arabia as a close ally, when that country is a major source of al-Qaeda people and teaching?