The idea of choosing officials by lot, as ancient Athens chose some officials, may be interesting.

But the officials chosen this way were usually members of a panel. No one of them had a large amount of power individually. That reduces the possible downside from random choice.

Also, the system assumes that these officials would be chosen from people who would be basically civic-minded. In the US today, many of the potential lottery choices would be fascists inclined to use their positions to threaten sabotage. We could not expect that to work.