[YourHumbleNarrator]

I doubt it. It's one thing for people to bitch and complain about who's already there but unless their power is actually threatened politicians aren't going to take it seriously.

In that case they probably would try to pass a law where only so many of them could be voted out at once. In that climate, it'd be a stupid move. The only thing that keeps a government running is the people's confidence. If there is no confidence, not even the illusion of it, the whole thing comes down.