That is a simplistic analysis that completely ignores the internal processes of our minds. You're saying that because stimulus A resulted in response B that was the only possibility. Yet, given two individuals, they might choose to respond completely differently to the stimulus A. Why?
Because their prior stimuli leading up to that moment, and the genetic information they started with are all different.
I think a lot of the eerie findings in twin studies bears this out. Strange habits like fake-coughing in the elevator and walking into the ocean backwards that separated twins discover that they have.
Also, theories of free will have a very difficult time explaining why so many people are not in the mood that they want to be in. They spend so much time unhappy, depressed, manic, angry, paranoid, etc... These people struggle to change this mood, go to therapy, take drugs, and just can't get out of it. People kill themselves because they can't FEEL the way they want to. Free Will theories need to explain this.
They also need to explain why homosexuals can not just WILL themselves into being straight. A lot of them endure a life of shame, shunning, and torture that they would wish very much to go away. Free Will theories have a hard time here as well.
Free Will theories also have a hard time explaining why people keep repeating the same mistakes in their lives. Why they have the same negative reactions to events, hate themselves for it afterward, and then do it again. Determinism explains all of these problems nicely, Free Will does not.
To answer another poster's question about why I think the illusion of free will is important is this: We need to assign culpability even if our actions are deterministic. Why? Because if we SAY that everyone is responsible for their actions, THIS STATEMENT becomes a stimuli that will change a lot of behaviors. If you tell a kid that they will be in trouble for doing something bad, they are less likely to do that thing. If you tell them that they will not be held responsible, no matter what they do, they will act out more. Part of our deterministic behavior is that we feel around for our boundaries and then push them a tad.
I posit this for discussion: If Free Will existed, the field of psychology would not be able to exist. Results from studies would be completely random, which is NOT what we see. Instead we find consistency across all humans, even between species. And the more genetic similarity we find the higher the correlation of all behaviors. A clear indication that behavior is tied to genes, which are completely deterministic.