The hard part is not doing it, it's getting people to agree. I highly doubt people will agree to do that, because a large portion of people don't agree with "our village is now Earth".
In order to do computing involving time zones you also need to get an enormous number of people (particularly vendors of computer operating systems and maintainers of programming languages) to agree. But yes, this does appear to be easier than getting a few hundred political jurisdictions to agree.
