Unfortunately, it's the nature of our business to be up close and personal to the people we deal with. You don't stop a motorist for running a red light and then send a carrier pigeon from a safe distance to retrieve his license. How about throwing a pair of handcuffs at an arrestee from 30 feet away so she can put them on herself while you maintain your distance? I know it sounds kind of silly, but I'm trying to make a point here. The nature of our business, and that is the business of policing, requires us to be in close proximity to the people we have to deal with, whether that contact involves some type of enforcement action or not.
With this being the fact of our jobs, we need to know how to defend ourselves at these close distances, and that requires learning how to shoot from the hip. If you try to raise your gun up to eye level, to get some type of "sight picture," then you'll be wasting valuable time-time that you don't have. Gunfights are won in fractions of a second; don't waste any time trying to look for some type of sight alignment on your weapon, especially when you don't need it.
I want you to think of this simple phrase: "elbow up, elbow down." As you draw your firearm from your holster your elbow goes up. Now slam your elbow down into your side, locking it in. At this point your gun should be aligned with the centerline of your body. Tighten your arm up so you can see your triceps muscle. This will help you absorb the recoil from the firearm, and keep the gun aligned with the centerline of your body. You can quickly fire from this position.
Doing Some Damage
Using this technique, your rounds may not be center of mass/chest cavity hits. That's not a problem. At these close distances, all you're looking for are hits on a man-sized target. You're in close with this bad guy who is trying to kill you; you'll want to put a hurting on him as quickly as you can.
Consider some of the areas you'll be striking with these shots. First, you've got the possibility of hitting the subject's hipbone. Breaking the bad guy's hipbone may, or may not, knock him down. The big thing here is that you've lessened his mobility. Sure, he can still shoot at you with a broken hip, even on the ground. But hopefully you'll be thinking about cover and moving to it while his ability to quickly move will be diminished.