Not selecting absolute random people, but people who have established their ability to intelligently handle responsibility, and avoid breaking the law. E.g., once you have achieved a certain level of educational attainment (3.0+ at well-ranked college, managerial-level at established biz, certain mil leadership rank, etc.), pass security clearance, pass citizenship test, etc., you are in the qualified pool, and may be called upon to serve in a legislature. The always-a-newbie problem could be solved by allowing legislators to serve 2nd or maybe 3rd terms by re-election/confidence vote. Same for POTUS, possibly selected by sortition out of the existing legislators who pass a confidence vote.
There is no way a reasonably and responsibly selected random group of achieving responsible people would do worse than a corrupt or craven group, especially worse than the selected-for-corruption — i.e., selected for loyalty-to-leader — currently seated.
