There was a play many years ago - I forget almost all the details, but Peter Cook was the PM - which was based on exactly this idea. He won power by proposing to introduce it, which he did. He then bombarded people for a couple of years getting them to vote on every piece of trivia until they were exhausted. Then he gave a broadcast asking them to vote whether to abandon the idea and let him make all the decisions.

He won absolute power handsomely.