See you would think that, but the Hyuga have a chakra reading and piercing dojutsu; something the Senju clan never had, and the Uchiha could never overpower the Senju. Kishi's inconsistency with genjutsu and how it works. We had Chiyo and Kakashi in the Rescue Gaara arc saying it was dangerous and suicidal to attack an Uchiha with Sharingan one on one. And yet during Hashirama's era and before, Senju were slaying Uchiha in one on one bouts. Look at Tobirama vs Izuna. By rights, Izuna should've one since Sharingan genjutsu is so powerful and instantaneous, but Tobirama shrugged it off.Great thread OP. The average Uchihas's genjutsu lvl is enough to wipe out the Hyuuga. The sharingan just has so much dynamic potential, I hardly see any Hyuuga using CQC to beat them. One member of the Uchiha Clan is enough to wipe out the Hyuuga.
I highly suspect that Kishi didn't know how to incorporate genjutsu into fast paced, kinetic actions scenes. Characters in other anime, manga, and comics (DC and Marvel) use illusions for battle in believable and fast paced ways. Genjutsu in the NV leaves a person in a drooling stupor until they are released from it. That's boring, and probably why Kishi never drew a scene of Sasuke using genjutsu against Naruto. Despite them coming to blows 5 times in the mangas run.