"The show is ruined for me once darkness comes with the blinding spotlights."
So now we get to the crux of it. You don't really care about "schoolkids", late night subway work, or Public Theater employees. You just hate that the show takes place at night and you wish it was performed in daylight.
That's a valid complaint, and there may be a compelling argument to be made that there should be daylight performances for people with visual impairment. But that's a different matter from changing performance times because the show runs late.
I know there is a fair amount of daylight Shakespeare performances during the summer, but I believe those areall unamplified. There may be noise issues with starting the show aren't earlier, especially for the ones that have very active or violent soundscapes ("Troilus and Cressida" could be heard from a half mile away).