$180K puts you well within the top 20% in income. pay is not the problem. in fact, trying to solve politician quality by increasing pay would likely worsen the problem by misaligning incentives even more. also the assumption that the best and the brightest are managers at tech companies is amusingly naive.
But how much opportunity do they have for graft and corruption? Most of such money does not actually go through the mayor's bank account; instead, it is directed to people who then provide favors, e.g. employing his associates. Informal exchange of favors is the lifeblood of politicians.
You don't seem to be getting what motivates people to go into politics. They are not looking for ways to avoid involvement in corruption. The opportunity to be involved in the favors economy is most of the job's appeal. Paying them more would just cost more.