Modeling will never be sophisticated enough to model the entire system.
The question here isn't about determinism, the question is whether the universe could ever be modelled completely enough to understand and predict what may or may not be predetermined.
Short of that level of modelling and understanding, determinism is based on belief or faith just like any other religion. There's absolutely nothing wrong with that, but you must recognized it is only belief that can make one view any unproven understanding of the universe to be the true explanation for it.
The question here isn't about determinism, the question is whether the universe could ever be modelled completely enough to understand and predict what may or may not be predetermined.
Short of that level of modelling and understanding, determinism is based on belief or faith just like any other religion. There's absolutely nothing wrong with that, but you must recognized it is only belief that can make one view any unproven understanding of the universe to be the true explanation for it.