I doubt this would work better. the average person simply isn't a good executive. they'd end up getting dominated by the assertive folks. a simpler and easier solution to our problems to enforce approval voting across all elections, local, state and national, which will easily allow for moderates to siphon all votes and moderate the country drastically.
approval voting is great. i co-founded a major non-profit that got it adopted in fargo and st louis. for election by jury i'd advocate score voting, since higher resolution is more valuable with small groups.