Are we somehow pre-programmed via our DNA so that our every thought, physical response, and action is already determined from the moment of conceptions and there is nothing we can do to alter that? The thing we call mind/soul instinctively rejects that concept, but of course that could be part of the programming. Which does beg the question: is there then a programmer?
I think our conception of determinism is fundamentally flawed. First of all, I don't think 'determined' and 'pre-determined' are necessarily the same thing. That turns into a pretty subtle argument, so I won't get into it unless you're interested, but it does make a difference.
Which, via empirical experience, logic, reason, and ability to discern, we accept that we have a mind/soul that is able to reason, to understand, to accept, to reject, to choose, to go against its own nature, and to grow and develop and improve and expand in knowledge. And while some will succumb to indoctrination and coercion and brain washing and status quo, some have ability to think outside the box and reject the conventional wisdom and see that there are better and different ways to think, to understand, to explore, to be.
And that, is the basic definition of free will. That which we are and choose to be apart from what any others or any God ordains that we should or must be.
I agree. And I don't think that kind of free will really depends on the rejection of "determinism". Whether reality is tightly bound by physical laws, and thus strictly causal, or not, doesn't really having any bearing on the concept of free will you describe here. What you describe here is our ability make decisions, and that exists whether reality is fully predictable or not. And, when you dig into it, saying it's not predictable, contending that our innermost decisions are not bound by cause-and-effect - makes them weirdly meaningless. Why is it preferable to imagine that you choose good by random chance, rather than because you are a good person (because your parents taught you to be or because you learned it brings the most happiness or because ... etc, etc..) ?