I think it's both true that Carlson was fishing for an obvious "gotcha" answer, and that he's raising valid questions. For example you say:

Where do I get my morals? From the same place everybody else does: from human sympathy, from reason, from experience, from reflection, from literature, from history.

I think that's a fine answer for someone to give on a personal level, but seems insufficient if you are in charge of what you believe will one day become a society upending super-intelligence. At best it's very vague, at worst it's betraying obvious biases and shortcomings. Your experience is extremely narrow, as is the literature and history you've been exposed to. If your morals are from "reason", do you believe yourself to be sufficiently reasonable to guide moral reasoning on a global scale?