If you coil split it and have the pickup selector switch in the middle position will you get dual singles?

I have an Ibanez that does not have push pull knobs but has a three way pickup selector switch. When you have the pickup selector switch in the middle position it does something different than just turning on both full humbuckers. It does something like using a single coil from each of the pickups, but I'm not sure if that is a dual single scheme or just another type of humbucking scheme for a slightly different tone. It isn't a typical three way pickup switch though.

A guitar tech that is really knowledgeable will be able to do a lot of different wiring schemes and will be able to experiment with different caps and resistors if you are looking for a certain sound or range of sounds.

I wouldn't recommend going on a wild goose chase by yourself. You could wind up spending a lot more money in the end and even messing something up. Those pickups you have are not the inexpensive types. They are really great pickups though and you should be able to wire them up or have them wired up, with great results.