But if you mean what I think you do, then I agree.
It's also know as causality. The conditions in one moment lead inexorably to the next. And the series of events could be no different. Like your movie analogy. If we have a decision to make, we make a certain decision (maybe we choose chocolate over vanilla ice cream). Now rewind existence to the moment before the choice, and we don't have knowledge of the previous iteration. The person would choose chocolate again. Run it a million times. Chocolate every time. Because the forces surrounding and preceding the event (the person's brain function as well as environment around them) could only lead to one conclusion. Otherwise, you have an occurrence without a cause, which is logically impossible.
Christians hate the idea, because it messes with their concept of free will, which states that we could always choose anything, presumably. Personally, some divine randomness would, to me, undermine my ability to make my own decisions. My decisions are determined, yes, but they are my own....everything that makes up "me" is responsible for the decision. In that sense, I'm free because nothing impedes on my decisions.
Too often people associate determinism with fatalism. When I discuss it with others, they seem to take it as a depressing view of life. But we don't know what is determined by the past, so life is still exciting, surprising, joyful, etc. or whatever else we make it to be for us. It's not inherently good/bad. It's just how things are. How we react to it, either positively or negatively, is still up to us.