What I worry about would be that you essentially have two chambers the House and the Senate but you have simply majoritarian absolute power on either side. And that's just not what the founders intended.
The genius of our ruling class is that it has kept a majority of the people from ever questioning the inequity of a system where most people drudge along paying heavy taxes for which they get nothing in return.
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The oppressed are allowed once every few years to decide which particular representatives of the oppressing class are to represent and repress them in parliament.