A guide to metric time. An interesting concept but I think an even better implementation will need to be worked out - “Anglo-Babylonian Time” is just far too ingrained into everyday life, even more so than measures of distance, temperature, etc (interestingly, many SI units inherently depend on the second as well).
The dependence on the second (by SI units) is not that big an issue. We are just dealing with constants, so if you change the definition of the second all that will happen is that all the dependent constants will be adjusted by a given factor.