I think the drinking is secondary to just bad driving habits in this case. People become accustomed to always wanting to save a few minutes while driving and this becomes a reflex rather than thought out. The same thing happened to me when I was younger. And one sees it everyday, all the time. To change this habit, it requires some reprogramming, telling yourself that those few minutes will have no impact on anything in your life, and to just ignore the opporunities that present themselves to "save time" (as there's usually nothing of note happening at the destination point that would benefit from an extra few minutes).
In short, retrain your brain to accept a few additional minutes of time for safe travels. Once you take the decision, it's surprisingly easy to implement. You just exist in a parallel reality to people driving like maniacs bumper to bumper who have given no such thought to their own insignificant existence.