I think this idea (which is properly called sortition) would work even better if combined with the normal kind of democracy.
Most western democracies already have a two-chamber system (commons/lords, congress/senate etc), but those two chambers are elected in very similar ways. Instead, we could make one of them elected by sortition, while keeping the other one a traditional democracy.
I'd personally split the sortition part into per-area committees. There'd be a main committee with members taken from the general populace, whose only job would be to create the rules of who can be chosen for which committee (e.g. only qualified doctors for medicine). That main committee would also manage inter-committee disputes, in cases where it's not obvious whether a particular committee should be given the right to vote on a particular bill.
Most western democracies already have a two-chamber system (commons/lords, congress/senate etc), but those two chambers are elected in very similar ways. Instead, we could make one of them elected by sortition, while keeping the other one a traditional democracy.
I'd personally split the sortition part into per-area committees. There'd be a main committee with members taken from the general populace, whose only job would be to create the rules of who can be chosen for which committee (e.g. only qualified doctors for medicine). That main committee would also manage inter-committee disputes, in cases where it's not obvious whether a particular committee should be given the right to vote on a particular bill.