I do like your idealism. But what means "to give everybody the same voice"? Is this about having your voice heard? Or about actually participating in a decision? Either way, only the pure direct democracy guarantees both. In the end you still have the rule of the majority. What you might be looking for is some sort of equal representation of "minority groups"? We're somewhat doing this in Switzerland on the executive level and this only partially works because the executive is explicitly chosen to be very "consensus friendly" in other words no extreme (left/right) positions.

But this won't really work with the legislature, because there we have all kind of incompatible ideologies. There is simply no consensus possible with the contemporary ideologies (socialism, liberalism, conservatism, etc.) by their very definition. If you insist on consensus, your decision making process will simply deadlock forever. How can you ever unlock it? By shifting to a almost-consensus aka direct democracy.