I agree with the principle (and I despise the whole "tv stars as president" trend), but Bezos' experience isn't completely irrelevant.
There was a similar argument to be made (and that has been made) about Trump and business experience. Now, Trump's failures as president are correlated with his failures as a businessman and in life in general, but it doesn't undermine the logic.
CEO of Amazon is a massive amount of experience that no former president can claim they have. And although Bezos wouldn't have experience working in government, I highly doubt he's unfamiliar with it; he, just like any CEO of companies like amazon, would have worked with governments (especially US government) a ton.
(Now let's not say that too loudly in case Larry Ellison reads HN and is getting new ideas)