Everyone using a finesse weapon would then take Weapon Finesse, even if they dumped dexterity and went with strength.
That's an awful lot of benefit for one feat and a couple enhancement points.
This is true.
Still, something should be done.
I always like the idea that finesse-type build would use special weapons and they didn't deal so much dps as brute barbarians. Specialized attacks to lower AC, SR, trip, stun, you name it...