HorseHillary! If you are in a fire fight and the situation is desperate enough you are using a handgun,you had damn sure better be able to point-shoot it. People who screw around with sight alignment end up getting killed. Using your sights is ok if you are behind a barricade or in a similar situation,but face to face with a armed bad guy out in the open,you need to point shoot.
I stated in my previous comment that if your assailant was too close, you may not have time for sight alignment with your handgun. If there is no time for sight alignment it would be stupid to try and align your sights with your firearm.
They teach the good old draw and shoot at your firing side if your opponent is too close. (I'll see if I can find a picture of the shooting position that I am describing.)