I'm not aware of any non-criminals who don't qualify.
It's a provision in the legal system that allows for leniency... but a crime was still committed.
I'll raise my hand here. I'm a military veteran who got a bum interference charge from a crooked cop, and a job-protecting prosecutor who wouldn't toss it out. I didn't commit the crime; therefore I am not a criminal, even though I opted for a D/A.
Your refusal to believe only criminals are prosecuted by the legal system is absurd. We'll see how eager to go D/A you are if it's ever your ass in the hot seat.
As far as arguing for licensing is concerned, perhaps you can provide us with historical evidence of its benefits (and the negatives of "Constitutional carry" states) rather than opinion.