That eliminates problem #1.
If it was me, I'd pick which pup you'ld like split, and go with that. Spitting both with one switch isn't bad per se, but does have the limitation of one half of each pup being on at all times. I've done that once on my Strat, and someone else here has it on there's, but its an "odd" mod.
(I can show you how to wire it if need be.)