Good call! I did this with a MM pickup on a former bass of mine, mimicking the G&L 'OMG' setting (a .1uF cap across one of the coils), and it was a great sound. I can only image the effect would be more dramatic on more widely spaced pickups!
If the OP wants to go active, more power to you, but here's a very simple circuit idea for a low pass/high pass configuration: put a .1uF cap in parallel with the neck pickup (from the center lug, so it only affects the neck pickup) and put a .01uF cap in series with the bridge pickup. (It would probably be worth experimenting with different cap values to find the best ones for your pickups.)
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