I´m not saying anything. I´m simply reading what you are writing critically, and then critiquing it. I haven´t offered you my views yet.
What we define as "us" is arbitrary. We can make distinctions between any two objects or concepts simply by rearranging definitions. That alone proves nothing. I don´t think it is helpful to talk about the will as a separate entity. I think it´s more helpful to think of the mind and the will as emergent properties of the brain and our biology. But we don´t have a good enough understanding of neurology to have a meaningful discussion about it. So I prefer not making a decision about the freedom of our will until that research is concluded. Based on the current science that probably won´t happen in my life time.
But on the purely philosophical aspect of free will. I think all sides are correct. I think we have free will at the same time as we don´t. I think all positions on the free will issue are talking past each other because they have defined the component parts differently. Within their own definitions they are correct.
There is nothing necessarily random about coming to the wrong conclusions..for example, there may be good reasons for supposing someone's intentions are what they seem rather than what they are.
But they are mistakes. And mistakes are by definition noise. Within statistical analysis we put that down as random. But sure, any event can be traced back to a causal agent, or a (completely random) quantum vibration. But that is splitting hairs IMHO. It doesn´t really add to the discussion. I think it´s perfectly valid to just talk about random.