The whole idea of "time zones" was so that the mid-19th century populace, who was accustomed to setting their clocks (such as they were) to 12Noon at Sun transit (which is the definition of "noon" anyway) could all be persuaded to agree on whatever time the railway station master said it was - and all the railway station masters had to agree on what time it was to keep from banging trains together. So "time zones" are entirely artificial contrivances.
The best description I ever saw was a cartoon back in the early 70's; Richard Nixon in a rocking chair, explaining that he was going to make this blanket longer by cutting a foot of the blanket from one end and sewing on to the other - just like daylight savings time did, you see.
The British had (used to have?) "Summer time", which was like DST. The Bermudians didn't bother to change the clocks; they had "summer hours" for most businesses. from like 7AM to 3PM. It accomplished the same thing.
I see three practical options.
1. Do nothing. It ain't broke, so don't try "fixing" it. We're mostly accustomed to the quirks of DST, so who cares?
2. Set a single "American" time zone, and set all the clocks to it. Businesses and schools can set their opening/start times and closing/end times to whatever they want. Two time zones would be foolish.
3. Switch everything over to GMT. We're a global economy; we ought to have a global clock. Besides, what relevance does sunrise or sunset have when you're on the Moon, or in a space habitat? After all; Arthur C. Clarke wrote "If man survives ... then for all but a vanishingly brief instant near the dawn of history, the word 'ship' will mean 'spaceship.'"