I feel like trying to switch to this would cause more problems than it would solve. If you switch to this time system, what do you do about all the other units of measure that include a time component? Either everything has to change, or you have to start using two different time systems.
Dates? Swatch replaces seconds, minutes, and hours with .beats. Metres per second (used in scientific contexts), minutes per kilometre (used by runners), and kilometres per hour (used in most other contexts) would all be unusable under Swatch time.
That's not how people work. You think Americans are stubborn about our customary units? Try damn-near everyone (including many Americans) with SI.
Time in particular is unlikely to be significantly reworked because you can only push the inconsistencies out so far. So you divide the day into a thousand beats. Great. A year is still not an integer number of days, and weeks and months are only loosely based on physical (lunar) phenomena at all.