I'd recommend that you stop and consider some things before you do anything.
There is nothing wrong with the bridge, pickups or tuners on an MIM Jazz. All of these pieces are eminently serviceable and millions of users (including me) like them just fine. There may, however, be something wrong with your expectations.
The other two basses you have (if I'm not mistaken, and I may be) both use active pickups. The Jazz does not. The other basses are also very different in construction and materials. As a result, you're going to get a sound from that Jazz that's very different than either of the other basses.
In computer terms, you may possibly be mistaking this for a bug, when it's actually a feature! You may simply be used to hearing something other than the sound of a Jazz bass when you play. If so, you need to learn what that sound is and get used to it before changing anything.
I have no clue (and neither does anyone else here) what "empty" means. You need to get a LOT more specific about what aspects of the sound you find lacking. But throwing new parts in with as little information as you provided isn't likely to solve your perceived problem.
FIRST, you need to do a complete setup on the bass so that you know it sounds like it's supposed to - whatever that is. And you might consider installing your favorite strings, since IMO strings make more difference in sound than any other factor.
SECOND, when you're used to what that Jazz is supposed to sound like, you may consider making changes. IMO the bridge does not need to be one of them, as there's nothing wrong with a stock Fender bridge. But if different pickups lie in your future - as an educated decision, not as simply throwing parts at it - then so be it.
But at this point, doing anything other than a setup and strings makes no sense to me whatsoever.
