Here is a trick you should try, (and practice).

Get a buddy, set out a target. Have the buddy point a pistol at the target. Tell him to shoot when he see's you start to draw. Then draw and shoot. 95% of the time you'll get the shot off before you buddy does. You can increase the odds if you get the buddy talking. If he's talking, you can get the shot off about 99 9/10s % first.

I know you wont believe this, but try it. I use to have officers do this when I was a LE firearms instructor. It was about the time the Onion Field Story came out. We started pushing that you NEVER GIVE UP YOUR GUN.

They always think they can shoot before you can draw. Even with the buddy KNOWING you're gonna draw, if he doesn't shoot until you make the move you can beat him