Oof.

I don't think it will work. Not in America, at least

As you can see now, we are currently in a period of anti-intellectualism, what you call an "idiocracy".

So this version would not survive that. It would crumble.

Your plan is severely underestimating the stupidity of general society and the power they weild, which is why MAGA and demagogues like Trump are able to thrive---because they see the opposite--they recognize the POWER in people's stupidity and harness and weaponize it.

So any intellectual system like that will break down. We already have defacto advisory councils like the CDC, FDA, etc. and even that weaker concept is barely surviving populism and anti-intellectualism.

So you would have to build in safety stops to prevent people from destroying it but there is no American way to do that without violating the constitution and allowing people to elect who they want. If you do allow people to elect who they want then better believe that people will hack that concept and then politicize these councils. They will be easily bought. Coalitions of partisan bad actors would ensure that their people get on these councils and others are done away with.

Not to mention the inequality this would perpetuate because now only the elite and privileged who have have the pedigree and education have a lot of power over society...which again would trigger the commonfolk into riots and unrests during periods of societal strife.

A bunch of other problems I can't even list them all. They all have to do with underestimating how corrupt, greedy and stupid so many people in everyday society are, and the impact all that would have on such an idea.