Wow! Really?
I wouldn't say my Sadowsky is lacking in the mids at all. In fact, I think that's where a Sadowsky shines in a live mix.
It has the "right" mid content in it's sound to cuddle up nicely in the mix. Almost regardless of wood combos.
Don't know how you run your amp or setting on your bass, but if you want more mids, don't turn them up, turn things around them down.
Seems counter-intuitive I know. But "cut before you boost" EQ wise. That's FOH live sound 101 right there. (Even though the on-board is boost only).
And it hasn't been said in a while, a little bit of EQ on a Sadowsky goes a LONG LONG way.
I would re-visit you amp and bass settings. and give it a shot.
Will Lee had an awesome poster from his early Hartke/Sadowsky days.
The EQ on his amp was a frown and not the typical smile pretty much most bass players would do. And his live tone is always killin' .