I&#x27;d replace the SAT score with some small, fixed amount of people vouching for you so that you could enter the lottery.
(After all, there might be someone capable who because of some good reasons didn&#x27;t manage to take SAT, and the system should be just and fair for them, too.)<p>The amount should not be so large that you&#x27;d need the gigantic ad campaigns you need today to be elected, but large enough that you need support outside your immediate family. Maybe ~20. Gathering their &#x27;votes&#x27; demonstrates that you&#x27;re at least interested in the job,  and the element of trust is still there (someone trusts you would do a good job, and not doing that would be a betrayal).