Syrian Air Force

The Turks say they will not send in ground troops as long as the Syrian Air Force remains intact. The United States has the ability to destroy this Air Force with a minimum of losses similar to what was done in Libya. If the US did that then the Free Syrian army could challenge Assad and the Turks would help to take out ISIS. The US could kill two birds with one stone and not put combat troops on the ground. This is such an obvious solution that I must be missing some vital point.