Coil Tap Switch and Series Switch

[thegummy]

I have attached the wiring diagram for the Schecter Diamond J bass which includes a coil tap switch.

Would it be possible to add a second push-pull switch and wire it so that there's a series/parallel switch but also keeping the coil tap switch working as normal?

 

[line6man]

The wiring is going to be the same as usual.

 

[thegummy]

The wiring is going to be the same as usual.

Thanks.
So, looking at it and trying to work it out, it seems that the tapped and full wires go into the switch and the output wires from that would then just be treated like the hot wires from normal J pickups?