With technology it might be possable to do away with the legislative or executive branch all together.
It would be an interesting experiment at the local level to do away with a city counsel, you would still need administrators. But a good computer program could allow all issues to be brought to a vote by all citizins who were interested. You could come home and sit up to the computer and vote on the issues of that week.
In other words, back to a pure democracy, with technology to help it run more smoothly and quickly.
Pure democracies self-destruct pretty quickly. Part of the reason is because they are awkward and clunky, tough to get people to vote on every little thing. But that's NOT the main reason they fail.
Pure democracies fail mostly because the electorate is frequently fickle, weak, and emotion-driven. Original Greek democracy died for that reason, more than for being too unwieldy. The technology you recommend, would simply make that tendency worse, not better, and the pure democracy would scuttle itself even more quickly.
A BAD idea all around, with little to redeem it.
Want to try a "pure" democracy? Try it with these rules. They are based on the idea that societies get along best when they have the fewes rules holding them back - only really important rules like don't murder, don't lie, don't steal, etc.
Rule #1: Any proposed law must get a simple majority of ALL REGISTERED VOTERS to pass. In other words, if an election has less than a 50% turnout, ain't no laws gonna get passed no way. A majority of registered voters can probably be gotten to vote for the laws I mentioned above. If they can't be gotten interested in a law, then we're probably better off without it.
Rule #2: Any law currently on the books, can be repealed by a 1/3 minority of VOTES CAST. If one third of the people who are interested enouh to go to the polls, don't like a law, we're probably better off without it.
Rule #3: Any law passed, has an automatic 2-year sunset date. It is automatically repealed two years after it is enacted. If people want the law, they have to re-pass it every year. The only exception, is for laws passed with a 3/4 majority of ALL REGISTERED VOTERS. Those laws will have an automatic 6-year sunset date.
Ready? One-two-three-GO!!!
I doubt the above scheme would be better than a Republican form of government like we now have. But it would be much better than the simple-majority-of-votes-cast pure democracy you proposed.