if your system allows such an unconscious classical simulation then why believe you are one of the actual conscious entities?

It's like asking, why do you think you exist, when there are books with fictional characters in them? I don't know exactly what is happening when I confirm by inspection that some reality exists or that I have consciousness. But I don't see any reason to doubt the reality or efficacy of such epistemic processes, just because there should also be unconscious state machines that can mimic their causal structure.