With this design, meaning split humbucking coils, you'll get a tone closer to the typical P-Bass sound, but you'll loose the punch of the single coil. And this is what you get. To me, if you accept to mix two "types" of pickups, you can put a Fat Stack in bridge position and a Big Split in neck position, so you'll get hum free P/J on steroids configuration and still the opportunity to have a real single coil sound when splitting the Fat Stack.
If you can deal with the single coils hum, then give a try to the Big Blade or the Big Single of course (they are very close soundwise, the Big Blade being asier to fit as you don't have to care about strings spacing). In fact, I always prefer the single coil sound, but sometimes you need to cancel the noise, so humbuckers are mandatory (EMG's are all humbuckers except for some of the HZ series).
The Nordstrand are terrific pickups and their single coils are awesome (my prefered pickups when it comes to single coil).
There's another possibility, that's the dummy coil system, but apart from Alembic and Leduc, and at a time the Audere dummy self preamp, I know nobody using this and it's sad as you get the best of both worlds : a real single coil sound without the noise as it's a hum cancelling system...