You guys have gotten it all wrong.
You are assuming that the idea is that we would all keep doing things at the same time according to the apparent location of the sun in the sky. How old fashioned! Instead we will ALL be waking up, going to work, having lunch, etc at the same time no matter where we live. Think how much easier it will be organizing meetings with our colleagues overseas - you can be sure that 9:00 am is a good time for a meeting no matter who is invited!
To make it fairer though, and since the rotation of the earth is no longer relevant to the time, we should change the number of hours in a day - maybe if we made it 30 hours instead of 24. Then everyone around the world would get to be awake during daytime hours every few days. Something to really look forward to if that co-incides with a weekend too.
Living on Earth may be expensive, but it includes an annual free trip around the Sun.