I think if you had the option to play Jedi or not, then that would mean K3 would need at least 2 stories, one for Jedi, and one for non.
I can see why you want the PC to be a non-FS (Jedi seem to be in the center of EVERYTHING, saving this and starting that). In fact, it's one of the things that made Wedge cool. He wasn't a Jedi, and survived TIE Fighter after TIE Fighter on pure skill, and not the Force, unlike every Jedi in SW history