Chumley--I have had good luck with glasses prescribed to focus at the front sight distance. I've had cataract surgery with implants set for distance, so I wear a pair of glasses specifically for shooting with the dominant eye lens set for sharp focus at the front sight. I took a pistol with me to the optometrist office to get this pretty close. I left the non-dominant eye lens with almost no correction.
I shoot with both eyes open but smear just enough lip gloss on the non-dominant eye lens to blur it up some so that I don't get double vision.
So, the rear sight isn't sharp, the front sight is sharp and the target is not sharp. I look at the front sight and just place it in the center of the target. The sight will wobble in the target area.
The trick is to NOT chase the sight!! We tend to try to release the shot when the sight alignment is perfect. Doing so will usually move the gun. I shoot better groups if I release the trigger smoothly to the rear while the sight alignment is wobbling around the center of the target. I think more about smooth release of the trigger than about perfect sight alignment.
I took a course once where the instructor tried to demonstrate this. He said aim the gun at the target. Then he reached up and said he was going to release the trigger while I held sight alignment and I would not know when he was going to do it. The groups were better than when I tried to time the shot to match perfect sight alignment, which can't be done.
So, what I would suggest is stay with a standard distance, say 25 or 50 feet. Put up a target with just the blank side toward you so there is no target. Line the gun up with the center of the sheet of paper and release a few shots. With no "target" to try to force the shots to hit, you may be surprised at the group size. Do this a few times, maybe 20 rounds, and then hang the target normally and try it again.
I couldn't believe how well I could shoot a pistol when I didn't "force" the shot. Maybe this concept of releasing while wobbling will help you some.
Joe