no offense bud, but methinks you might wanna crawl before you walk .. then work your way up to running .. your testing the temperature of the water in the deep end with both feet
lemme see if i can sort this out .. robert_S is the PhD (pretty hip dude) when it comes to the major league les paul wiring intricasies ...
parallel and reverse phase are not the same .. parallel means that the signal goes through both pickups (or both coils of a humbucker) at the same time (as opposed to series, where the signal goes through one first, then the other)
as near as i can tell .. phase (in your case) is something that applies to the 'total picture' of the relationship between two pickups .. when you pop the bridge tone pot 'up', the two pups will be out of phase .. when it is 'down', they will be in phase
if you want to change the 'linkage' of the pups to series from parallel, you pull the neck tone pot 'up'
i think if you wire it up and test it out, you'll get a feel for what is going on
good luck
cheers,
t4d