Like already posted, have someone wiggle the steering wheel and watch to see what has play.
Do not expect it to ever feel like a newer car, these old cars have tons of slop in everywhere, some by design..(not rack and pinion, that was exotic stuff in the 60s)
I have been driving them since they were new and it is typical to saw the wheel a bit to keep it pointed the correct direction.
A good wheel alignment will go a long way to making it feel better.