Both the always-on mod and the coil split each use just one side of the push/pull switch, so both effects could work in tandem. Therefore, if you leave the coil split, and do the above wiring on the other set of lugs on the push/pull, you'd get the same positions, but with the bridge split. That would actually be pretty cool with the bridge always on. You'd have 9 different sounds.
Push/Pull Down:
Neck
Neck/Middle
Middle
Middle/Bridge HB
Bridge HB
Push/Pull Up:
Neck/Bridge SC
Neck/Middle/Bridge SC
Middle/Bridge SC
Middle/Bridge SC
Bridge SC