Koryo Songhay said:
The rule of cool says most of them should wield it.
Of course, what constitutes "cool" is entirely subjective.
Personally, I'd find it cooler if Jedi relied on their Force powers in battle than their lightsabers. If Carrie, Scanners, Babylon 5, etc. can portray psionic abilities as formidible primary weapons, then so can Star Wars.