I don't see how selecting the Lion, the Robot or the Scarecrow at random is going to help with any of the issues you mentioned. Now some rando (or group of randos) that you didn't even know existed gets power based on pure luck. You will still need media to learn about them and they could still be made up.
At least elections have a veneer of consent since people are asked which of the available options they prefer. Can you imagine anyone going to war because people chosen by a lottery wheel asked for it?
This is a problem of scale. The Greeks back then lived in small city-states where random selection meant that every able bodied male had a good shot at holding an important office at least once in their lifetime. You didn't need to hatch devious schemes to come to power. You couldn't abuse your fellow men because they would be in charge tomorrow. That's the true power of random selection and it's completely inapplicable to today's society at large.
At least elections have a veneer of consent since people are asked which of the available options they prefer. Can you imagine anyone going to war because people chosen by a lottery wheel asked for it?
This is a problem of scale. The Greeks back then lived in small city-states where random selection meant that every able bodied male had a good shot at holding an important office at least once in their lifetime. You didn't need to hatch devious schemes to come to power. You couldn't abuse your fellow men because they would be in charge tomorrow. That's the true power of random selection and it's completely inapplicable to today's society at large.