Continuity mistake: As the team is driving through the warehouse, they are shooting up the place. The time that the car can get from one side of the space inside to the other at their speed is about three seconds. Unless they were driving in circles, they stopped inside to shoot people with oil squirting hoses, shoot up and wreck the place and get going. Even though the sound said they were moving, the physics say otherwise.
Continuity mistake: While driving in and through the bad guy's warehouse, Murdock is driving and firing the gun on the driver's side. As the camera does a close up on him driving, you can see it is a reused shot of him driving outside, as you can see not only trees, but BA's relaxed arms behind him. Trouble there is that BA is firing the top mounted gun. Also, after the close up of Murdock, you see his left hand on the wheel. When the camera cuts to the driver's gun, his left hand is suddenly firing it, and behind that, you that the background isn't moving.
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."