Very simple answer is no! They swear to uphold the constitution which establishes our constitutional republic. Not a people’s republic. Not a democratic republic. Not a gaggle of mobsters shouting “This is what democracy looks like!”
That there is my thinking, too. If your answer and mine is legit by law, then we would not have that messuva mayoral candidate in NYC on the ballot in the first place, and if clerks kept their oath they would check that crap, but they don’t have tools or willingness to do that.
“Does the US Constitution inherently demand that our form of government be a Constitutional Republic?”
My sense is that the answer would be “no,” because any form of government may be altered or abolished if the people so choose.
The rub is...whether it is really the people or some other entity giving voice. We all know what happened in 2020.
Constitutional republic means elected by the people.
The Soviet Union had elections. Iraq under Saddam had elections.
The conclusion above that we need to “vet” our candidates is a pretty low bar. Isn’t that what campaigning is?
The constitution does not define what kind of economic policies or social safety nets the country should have. That’s why Bernie Sanders and Mandami the Commie can get elected and serve.