FlyingAlly, only the ignorant claim that instructors don't fly the plane. When demonstrating a manoeuvre, not only must you fly the plane accurately, but clearly describe what you are doing.
Your view of flying the plane - which seem only to entail hands on the controls - isn't correct. A very large part of flying is thinking ie to manage the flight. Handling the controls should be 2nd nature. Like other pilots, instructors spend a great deal of their energies thinking and managing the flight, but in the instructor's case they also have to provide for their students learning needs as well.