> In physics, the change from classical to quantum theory was a change from determinism to probabilistic determinism.

Don't you mean from determinism to nondeterminism?

> There is not one physicist on earth that would ever exhort you to use quantum theory where classical theory will do.

That's being practical.

> "Don't you mean from determinism to nondeterminism?"

No, I mean exactly what I said. Given a system's state, one evolves the state using wave equation du jour, nondeterminism does not occur.