I don't think Heisenberg's 'uncertainty principle' has had much impact on day-to-day physics either. But the idea of built-in limitations may have helped to make the humiliation of mere probabilities more palatable. As did the idea that the observer is part of the equation.
"What we observe is not nature itself, but nature exposed to our method of questioning ."
Physical indeterminacy is extremely important in modern day many-core computation because of essential reliance on arbiters with physical indeterminacy. The following for an axiomatization:
"What we observe is not nature itself, but nature exposed to our method of questioning ."