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

THe engine and trans must weigh over 600pounds.
If it is noticeably "lifting" during clutching, that ain't right. There is no force going in a vertical direction. All the force is fore and aft.Well maybe a small vertical vector from the Hi-mounted inboard Z-bar pivot. As said pics would help a lot!

Exactly, and none of which would likely be the cause for noise from the clutch.
Stabilizing that motor and a new TO bearing would be a great start, as long as nothing else is worn or dry.
Possibly even a pilot bushing/bearing could be worn out.

If I saw it and heard it in person I could tell ya exactly what part was making noise.
Probably not over the internet and speakers though.:D