I believe in determinism because almost all science is entirely based off of the concept of cause and effect. Without cause and effect, science simply won't work (Heisenberg Uncertainty Principle is a whole other monster that I will get to later). Since we all believe in cause and effect to a certain extent, I find it quite difficult to believe that parts of the universe are ruled by determinism, and other parts aren't. Aside from the Heisenberg Uncertainty Principle, can you name any event in the universe that is even possibly random?
As far as the Heisenberg Uncertainty Principle goes, just because we don't currently have a way to determine where sub-atomic particles will be at any given time, it doesn't mean that it is impossible to ever determine. Science has explained plenty of things at a later time that were supposedly inexplicable before, and I think that this is simply an advanced case of that. I don't have faith in many things, but ultimately I have faith that the universe does, in the end, make sense, and the randomness of the HUP undermines that concept. Still, that doesn't mean that the HUP cannot ever be explained.
A question to anyone who doesn't believe in determinism based off of the HUP:
Even if the Heisenberg Uncertainty Principle is correct, how does that rectify free will as opposed to determinism? Certainly randomness hardly provides for more free will than determinism, right?