Why are physicists axiomatically defining quantum mechanics to be non-commutative even though this makes the theory unnecessarily complex and leads to the wrong conclusion that it wasn't possible to measure momentum and position simultaneously?


The uncertainty principle is not a law of nature and not a technological limitation, but rather a consequence of a flawed axiomatic theory. It states $\Delta x\Delta p\geq\frac{\hbar}{2}$. However the $\hbar$ here comes from the momentum operator $p = -i\hbar \partial_x$. This is a definition, not a factual measurement. We are free to rescale the momentum operator as we like. Hence in the limit $\hbar \to 0$ we obtain a principle of absolute certainty: $\Delta x\Delta p = 0$.