There is nothing there that I particularly disagree with after a casual reading other than:
The Constitution here specifies eligibility requirements. The question of whether a person meets these specifications is determined by the Judiciary.
Show me where this is enumerated and if you can’t show me where you think it is plausibly inferred.
And if you show me an inference, I’ll show you a stronger inference that say’s otherwise.
I’m not at all sure the judiciary gets much of a say.
Individual state secretaries-of-state (or equivalent) determine who appears on the ballot according to state law.
Congress certifies the results.
Because it is a question of law.