No problem!
I just compared the pickup sizes for my curiosity. It turns that the stock pickup is normal size, it's just the Dimarzio I currently have in there that is taller.
You won't get as much height adjustment with the BKP because the pickup wire is thicker and less flexible than stock. Infact, I had to carve out a channel for the Dimarzio to even fit!
Excuse the waffle, I just didn't want to leave you with inaccurate info.