What we need is Local Noon Based Time(LNBT) This time would be locally computer generated based on when high noon is at your physical local location. Your day would be exactly the hours between sunrise and sunset. Just like it used to be for centuries.
Anything requiring a schedule or coordination, class times, work meetings, conferences would all use GMT.
No confusing time zones to worry about.
We might need some new nomenclature for global coordintion but the old standards : morning, afternoon, evening and night should still suffice.
Does anybody really KNOW what time it is?