Continuity mistake: When Face starts tailing the black limo, the limo's tag is 55J-DKE. When it pulls up in the neighborhood, the tag is 62N-BHT.
Continuity mistake: In the Sugar Hill Club, as Hannibal confronts East Side Charlie, the neck of the bottle on Charlie's table goes from showing above the red napkin to hidden and back several times.
Continuity mistake: When the A-Team visits the bad guys' Sugar Hill Club, after shooting the place up and dumping the garbage truck, BA gets out of the garbage truck leaving the door open, the next shot the door is closed, the next shot the door is open and closes, and for the final shot as they exit it's open.
Answer: Several times, Face would pose as a doctor to get Murdock out of the Mental Hospital. How easy would it have been to convince airport officials that he was a doctor taking a sedated patient on board? Or simply tell them, this man is afraid of flying, so he had to be sedated. They could say, "Believe me, you don't want this man to be awake."