Also popular is the "intelligence of the gaps" argument analogous to the "God of the gaps" argument.
So yeah computers can calculate but wake me up when they can beat humans at chess. Umm beat them at go. Ummm recognize a cat. Ummm write poetry.
Eventually that argument wears a little thin.
I would like to see better, more subtle arguments that distinguish humans from AI that recognizes the bag of tricks in our own heads.