Isn't that basically what the Allegory of the cave is advocating for?
If you are uneducated (and almost certainly poor), you do not see reality for how it is, but instead you see shadows against the wall. Only through the process of a dialectical education can you begin to see reality for how it is. As a result, only the educated enlightened individuals should become kings or the guardians of a state.
Any system which agrees with this allegory (and most of Western Philosophy implicity agrees with it) also results in the notion that poor people should not be enfranchised at the same level as wealthier people because they cannot be trusted to govern.
If you reject this allegory, than the fundamental justification for hierarchy (some are more fit to rule than others) and correspondingly the state is shattered
I think it would be more sensible to fix the education system than to appoint uneducated people to government positions just to increase the representation of poorer people.
It's more about education and a skeptical but not paranoid and nihilistic mind, than about "rich and powerful". You should be "this tall to ride". In this case, "this tall to broadcast your thoughts to millions of people".
It'll be the end of civilization.
Everyone should agree with the rich and powerful.