Timezones are already a step toward an arbitrary standard time for the purposes of making communication easier and not needing to change your watch just because you moved around. UTC everywhere would just be another larger step in that already established direction.

The next step is to stop talking about "Daylight Savings Time" and "Standard Time" and phrase these as UTC offsets.

The Eastern timezone uses UTC-5 over the winter. We use UTC-4 over the summer. In summer, if they used UTC-5, the sunrise in New York would be around 4AM. Which is way too early. New York should not be on UTC-5 in the summer. But there is no real problem with New York using UTC-4 year round.

Detroit, on the other hand, would have sunrise after 9AM in winter if they used UTC-4. Which is absurd; they cannot use UTC-4 year round. But, there is no real problem with them using UTC-5 year round.

The solution, then, is not to select permanent DST or Standard Time for the entire timezone. The solution is for the states (or localities) to each select which UTC offset makes sense for them, and the next time they are on that offset, they do not switch again.