The reason we have timezones is because of the railroads. Before the railroads came in, every town would have its own time, typically set so noon is the time when the sun is highest in the sky. This really wasn't a problem, as back then it didn't really matter that the time was different in every little burg.

Then the railroads came in. They needed things running on a coordinated time table out of necessity, and having every town with its own time was unworkable. I'm sure the railroads would have loved running everything off of the same clock everywhere because that would be simple. But people were too used to noon being the middle of the day, so instead we got the compromise of having timezones so that the railroads can still run on a coordinated time table, but also so that noon is still approximately the middle of the day as people were used to.

So the solution is just go back to the 1800's and convince the railroads that timezones are actually silly and that they really should run everything based upon UTC. And if people want rail service to their town, they can just deal with not having 12PM being when the sun is highest in the sky.