The driver in the video is a Long-in-the-tooth truck driver; he has his stuff organized from habit. Doing so make it quicker and less stressful than searching through the glove box and/or center console looking like you don't know what you are doing. This makes the officer stressed, having folks digging through hidden and hard to see areas.
I personally get stopped very rarely, and I mean very rarely ... I drive safe, at least when I am not on my motorcycle and even then most of the time ... but I keep my license, insurance, and permit all in my badge case ready to go!
It also helps if you make a big BOO-BOO and are lying in pain on a stretcher. The paramedics can find your stuff quickly, notify your wife quicker, so she can cash in your life insurance, and her new boyfriend can buy a new Corvette, which she wouldn't let YOU BUY!