Benedict Arnold was a natural born citizen.
Aaron Burr (tried for treason but acquitted) was a natural born citizen.
John Brown was a natural born citizen.
Robert Hansson (FBI-KGB double agent) is a natural born citizen.
Aldrich Ames (CIA-KGB double agent) is a natural born citizen.
We have had one president who was probably not "natural born" and we have one who may well not be any sort of citizen at all.
Those fellows you mention prove that "natural born" does not guarantee good character or patriotism, but the issue is the Constitution and whether or not we can support one thing for Democrats and another for non Democrats. If the Constitution is breachable "for a good cause" then there is no Constitution, only a set of mutable by-laws.
And this argument is intended to imply that the Eligibility clause is not foolproof.
Tell me, does not being foolproof give us leave to ignore our laws? Funny notion that, coming from a man who lives for arguments of legal process.