The thing about time is, there are two important 'natural' units that aren't going away: the day and the year. Whatever system you devise has to include them somehow. And unfortunately, the conversion factor between them (365) isn't a multiple of 10.
That said, we can do a lot better than the status quo. Since we've already given up on the idea of having a single base unit for everything, why not express time in fractions of days instead of multiples of seconds? Counting time up to 1.0 days is a lot more intuitive than counting up to 8.64 myriaseconds. The second is a unit of time which isn't tied to anything intuitive (actually, it's entirely arbitrary). If we're going to shake things up, let's at least use days instead, yeah?