diff ratio, much of a difference?

My dad kindly let me run has valiant at the Drags, Saturday just been.
Aside from the huge wad of cash he's sunk into the motor, Trans,and converter, the car is little changed from how it was when he first bought it back in '81, or '82. (I must have been about 5 when he bought it) currently I'm having issues with getting a clean shift between gears. (Full manual valvebody) so sooner or later the original split back bench is going to have to go, (dad used to be a heavy guy, so the seat is pretty well past it anyway) and some kind of drag friendly floor shifter will have to go in.
Aside from that, my best time to date is 12.578@107. I'm fairly sure with the addition of a proper tacho with shift light (really only been guessing the shift points thus far) and without the cumbersome shifter arrangement it should run south of 12.50.
The thing is currently it's still sporting a 2.9:1 rear axle. And I fit a pair of M&H 235/60/14 drag radials for strip duty.
Car is an a body, and I ForgET what the stall speed is. But it's matched to the two eighty something/242@50 cam.
Long story short, how much quicker might it run with say a 3.55 back end?
There's so much knowledge here. And despite not being complete newbies, the F.A.B.O hive mind is a formidable source of experience.

Picture for thread.

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