I don't know anything about Kawai basses; but just looking at the pictures, it doesn't look like the standard Alembic shells would be a direct fit. One option would be to have Alembic make you a custom set of pickups to fit. Another option might be to make some rings to fit around the pickups. And the screw holes probably don't match up, so you would need new inserts as well.
I have no idea how Alembic pickups would sound with the Kawai electronics. It does look like the layout is such that you could replace the electronics with an Alembic Signature package or even Anniversary; but I don't know for certain.
Of course my recommendation, prejudiced as it is, is to just get an Alembic bass
Just checked out your band's website; very cool!