you might cheat both sector gears out enough to pull the ballnut assy.. however you are 95% of the way there doing so.. why not just pull them?
i thik your course of action will turn a routine rebuild job into a hard one..
I've rebuilt many of these boxes.... generally not difficult.. about the biggest issue is sometimes cheap chinese bearing cages that crumble.. OE.. ballnut assy that are soo worn the ballut cocks to the side.. or sector gear teeth profiles that wear to a point.. etc. broken adjuster stud holder ears.. etc.. stuff like that.
otherwise they are pretty bulletproof. and straight forward to service