If you enabled the table-AI with the ability to act in the world, it would directly fight against itself, and ignore itself, and everything in between, as it is doing everything possible. It would be Hitler and Churchill, Noam Chomsky and Dick Cheney, Jesus Christ and the Buddha, and everything in between. Or, more to the point: the concept simply doesn't make sense, and it is definitely not an intelligence.
We already fight against ourselves. This is why psychotherapy exists, to help us resolve internal conflicts and set our own goals. Often these conflicts arise because we adopt the viewpoints of our parents or other authority figures and can't let go of them later in life. A neurotic AI is certainly an amusing possibility.
I would bet that is extremely different from how you act. I would bet for example that you would be more likely to eat something than to allow yourself to starve for the sake of ethics. This AI would be as likely to do both.
So, I do think that you are clearly intelligent and sentient despite holding some opposing views, while the thought experiment AI is not.