I have no idea what the title "An Ancient Greek Philosopher Was Exiled for Claiming the Moon Was a Rock, Not a God" has to do with the detailed explanation in the last three paragraphs of how he was exiled.

The misleading implication of the title seems to be the ancients were dumb for exiling someone who had a controversial scientific opinion; we'd certainly never do that now (LOL); the records and detailed explanation imply he was exiled simply for supporting the wrong politician.

Its exactly analogous to claiming James Watson was attacked because people didn't like the chemical bond structure of DNA.