QM represents a part of the real world to the best of our knowledge ;-) (At least that sounded funny in my head)

The question could be rephrased as: "It exists a deterministic physics theory that does not contains "uncertainty" or "probability" concepts internally?"

The interpretation of probabilities as 'subjective' as in the Maximum Entropy theory of E.T. Jaynes will reorient the thinking re QM, in my opinion.

Quantum mechanics is the right theory at a right length scale.

If we want to describe motions of elementary particles or

even composite particle such as protons or neutrons at a

length scale of 10^-8 cm or less, that is, in atomic and

subatomic scales then the theory of classical

mechanics (Newtonian), cannot describe trajectories.

This is because in that length scale trajectories are

probabilistic. Remember that Newtonian trajectories

are deterministic. The probabilistic nature of trajectories

on atomic and subatomic domain are demonstrated by

many experiments. Davisson Germer's experiment

(1923-1927) establishes that microscopic particles

follow the de Broglie hypothesis. Also famous double

slit experiment shows maximum and minimum, indicating

that there is wave like nature of photon.

Quantum mechanics, therefore, is based on real-world

experimental results only.