>fossilized two party system supported by all kinds of powers and structures that the voters aren't allowed to change
The original system wasn't two party. In fact, the first Chief Executive (President of the United States) on leaving Office, specifically warned the populace against anything remotely resembling the formation of political parties.
The populace quickly ignored that advice, and carved up the country between Federalists and Anti-Federalists who either vied to achieve the Supreme Seat of Power to enact their Will, or hold that Seat so no one would be able to avail themselves of it.
The current flavour of democracy is already not democratic as practiced in most countries (perhaps Switzerland is an exception).
In the US it's career politicians with little accountability, billionaires and huge coporations with huge influence, paying politicians, media owned by said millionaires or fed BS by the government, a baroque system of chosing President, a failed educational system that doesn't teach kids to be active citizens, fossilized two party system supported by all kinds of powers and structures that the voters aren't allowed to change, and so on. Plus a charade of voting once every five years. If that's democracy, then yes, it should change: to real democracy.
The options you describe would be some of the solutions to that.
Of course those "wise persons in power who know better than us what's good for us" will prevent anything like that.