'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 haven't had it apart yet, and I can't see much of the mechanism with it in place. It moves up to 1/2" side to side, which can't be how it was designed. A missing clip that is supposed to hold it in place would make a lot of sense. I've been waiting to get some rebuild parts before I pull the assembly out.