If one considers a Ministers/Priests position a job, then I suspect there is some expection that they will support important aspects of the product/brand? Few employees can thumb their noses at the boss.

If one looks at their position differently, realistic or not, I guess you may come up with a different conclusion.

However, if you do not believe in the product, or do so subjectively or selectively, what's the point of hanging around anyway? Though, unlike with car sales, I suspect getting alternative employment is a related field may present a challenge.