So how would a system of "legislation by jury" work? I don't think it would be that hard. Transfer the power to write bills to the executive branch, and then set up a system for randomly selecting registered voters to either approve or deny every such proposal that comes down the pipe.
Objection: Some bills require technical knowledge to understand.
Response: Maybe bills that are that complex are bad, ipso facto. Bills should be no more than 1 page in length, and should only deal with a single issue.
Objection: Empaneling a nationally representative jury would be a nightmare.
Response: Maybe, if you expected the jury to actually discuss the bill, as a trial jury does. But with modern technology it would be trivial to set up a computerized system that would allow 1000 or 10,000 randomly selected citizens to vote via the internet.
Perhaps ranther than abolishing legislative representatives, it would be better to simply require a randomly selected jury to approve any laws that the legislature passes.
Our bicameral Congress was founded with these ideas in mind. The House of Representatives was supposed to serve the restraining, close-to-the-people function, but over time that principle has been eroded.