I've worked with local politicians in office settings, as salespeople (trained a city councilwoman as a saleswoman once), etc. They also sometimes own businesses (a bit of selection bias there because that "plays" really well to the electorate).
Most political jobs that aren't state/federal arent very demanding of time. School board, local government, etc, is generally unpaid/low pay and very much part time. If you can carve a couple nights a week, you can work in local gov.