Whatever the president is doing with his hands, he did not pull anything out of his jacket. Whatever he was manipulating was on the desk already. Kerry is NOT just fiddling with papers already there, he is manipulating whatever it was that he has taken out of his pocket. Huge difference
Look at it again--
The President is seen clearly unfolding something--or, at least it's close enough to look that way. Watch it, without looking at Kerry.
I think this was a set up from the start, and SIMPLY NO ACCIDENT that this piece of footage was used. I think whoever put this out did this for a very different agenda than the one currently assumed.