If your ball goes left way too often chances are you're standing up too soon. As you can see from these still of DJ in what I call "position A," his shoulders are nearly vertical and his hands are moving left of the target with the clubface pointing upward and left of the target. This is how DJ has a strong grip and doesn't hook the ball.
Notice how his neck is parallel with the ground. He's not looking down onto the ball from a vertical position, he's looking level at the ball from a level position – as if the ball were eye-height if here were standing vertically.
To achieve this position, swing a club and look upside down, behind you off the left side of your body. Not that you really need to do this, but doing this will show you what it feels like to truly turn through the shot properly. When you're looking downward at a ball below your head with a vertical or close to vertical neck, it completely impedes your ability to turn. Your head is never going to follow the body – it's always the head that leads and the body follows.