Kurfurst, your comment about "right eye dominance" brings back memories.
About 20 years ago, I had to requalify with the .38 before going overseas (regular USAF training). We were told to simply take the .38, hold it with two hands, and KEEPING BOTH EYES OPEN, let our dominant eye do the sighting.
Now, I'd always closed one eye to shoot. That's how I shot on my college rifle team, qualified with the M-16 when I was an airman and qualified with the .38 when I became an office. No matter how much I tried keeping two eyes open when shooting, I still kept seeing two guns and two sets of sights.
The youngsters in the group were actually able to do it, but those of us who'd been brought up in the "one-eye closed" school couldn't. We HAD to shoot with one eye closed.
Fortunately, the instructor was a realist. He didn't try to force us all to shoot using the "two-eye" method. He let us shoot as we best felt comfy, which is why I had no trouble requalifying (and my score was one of the best in the class's).
CD