You seem to be adopting a double standard here. It is true that materialists cannot explain how minds work, but dualists can do no better, and, furthermore, the

You seem to be adopting a double standard here. It is true that materialists cannot explain how minds work, but dualists can do no better, and, furthermore, they cannot point to any remotely similar phenomenon that is non-physical. Your claim that "there is no angle to it where it can ever give in" is just as much a speculative intuition as the claim that minds are the result of physical processes. The position you take in your last paragraph is one of solipsistic skepticism. Do you approach every epistemic issue with the same level of skepticism, or do you only adopt it with regard to the proposition that minds are the result of physical processes?