'68 Barracuda 383 4spd - throw-out bearing/other issues?

This...….
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Not this...….
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Correct part geometry can reduce pedal effort and deflection in your assembly.
Then too, a high load clutch cover can contribute to deflection somewhere in the total assembly.
Is the frame side ball mount flexing as you work the clutch?

The engines are designed with the movement of the engine taken into consideration. That's why there are pivots on the clutch linkage......
You should be able to see this as you rev the engine in neutral. It'll move even more as you let off the clutch adding load.