It is stupid, yes, but it doesn't hold any spiritual power over us. It might eventually fade out as we evolve, integrate into the larger societies of the Galaxy and have other major events to base our timing around.
The month and week system is what matters, and that's ours and good.
Counting years the way we currently do is a relatively novel thing, as the ancients saw time as more cyclical.
Years would just come and go, and for discussing larger periods of time, you'd pick a relevant thing to go based on.
In Egyptian historical works, that might be "year 362 of the Unified Egypt".
In Rome, you might hear "year 8 of the reign of Julius".
Some places had their own calendars.
The globalized society we find ourselves in and its rigorous preservation of history is a situation we as humans find ourselves in for the first time. So how things will evolve is anyone's guess.
