If under those conditions the voters should persist in electing incompetent or corrupt executives, they would deserve the sort of government they would get and would probably in the end be deprived of their vote.
A system of local government, designed for concentrating power and responsibility, might, consequently, be shaped along the following general lines.

Its core would be a chief executive, elected for a comparatively long term, and subject to recall under certain defined conditions.

He would be surrounded by an executive council, similar to the President's Cabinet, appointed by himself and consisting of a Controller, Attorney General, Secretary of State, Commissioner of Public Works, and the like.

So far his position would not differ radically from that of the President of the United States, except that he would be subject to recall.

But he would have the additional power of introducing legislation into a legislative council and, in case his proposed legislation were rejected or amended in an inacceptable manner, of appealing to the electorate.