I think then the help of those people who were involved in the early Aikido days would be needed to tell the story. Btw, having bullet time effects for the action scenes might look cool... coordinated with extension of ki of the characters?
Hell, I bet Neo does know some tai sabaki. He has so many martial arts programmed into his brain!
But I think if Aikido were to be programmed into his brain, it would take up too much memory space!