I am not so sure about that last point.
You do want smart and talented people to take office. If you limit officeholders only to people who are not that talented (cuz they didn't get super rich) then you might even end up with real idiots (not like today when you only have PRETEND idiots, who just act stupid but are actually smart and cunning in their devious ways).
You actually want very smart good people who can outsmart the smart bad people. I doubt most smart people deliberately try to earn less money. If anything they want to maximize it. Now, what they do with that money, is another matter. They can set up real charities (not like the Clinton Foundation), hire people and create jobs, etc.
(Assuming a level playing field of course, not like an economy stacked against honest hard working people, with money only flowing to the old boys club, which is what we got right now)
So that's why I think just looking at the wealth thing is not sufficient.
Anyway I think ultimately whatever government "thing" that is created as a rule/law, can be circumvented by cunning and corrupt individuals who act in conspiracy.
They can even reinterpret words the way they want. They can change the meaning of the word "wealth" to mean something else!
I read that actually all of this is bullshit because everything is interpreted by the Judicial, and if they are corrupted, they can say something is Constitutional or not.
So, end of the day, still it is the responsibility of the citizens to be the actual oversight.
And again, it is back to education of the masses. If they don't even know this is their duty, they are not going to do sh*t about it.
Exactly the situation we are in today with most Americans.
(As an example, citizens can boycott mainstream media that is not telling the truth, and advertisers will not pay money to those media outlets. People can boycott companies run by corrupt people, etc.)