'67 Barracuda Fastback S 383 4 speed rear end issue?

Don't know why your clutch pedal would move, is the c-clip missing from the shaft? It's on the right or opposite side of the pedal.

I agree. I wouldn't think the OP would have the kind of side-to-side movement he describes just from worn bushings. Of course, I could be wrong.

As for the missing spring, it should be removed for a diaphragm clutch, either altogether, or at least replaced with a lighter spring.