Alas, people will continue to argues that democracy is the best form of government despite its various flaws.
What's your alternative good?
In one way, the system I've proposed has an inherent protection against this problem that our current system doesn't have. Specifically, because all candidates are chosen by random lottery, an incumbent cannot run for a second term except in the exceedingly rare circumstance that they are chosen twice in a row by the lottery. Therefore, the incumbent has no incentive to try to please any third party that helped them get elected in order to retain their support for a re-election campaign.