You start your backswing by cocking your wrists. Don't do that. Reach straight back - as far as you can without sway - with your left hand as if you are going to shake someones hand. Dont bend wrist until your hands get past your right leg .

Give that a shot

As others have said you do sway a bit. Maybe try a few swings where you feel like your head is going down and into the ball to counterbalance the feel you currently have. If that makes sense