My guess would be what they meant was that they should quit. Ie either you respect the intelligence/morallity of the people who you want to vote for you, or maybe you shouldn't be trying to represent them.

And not quit as in leave only a single party, but quit as in leave a vacuum for another party/candidate/etc to step in.

Note these aren't necessarily my personal views, just trying to help clarify what I believe the commentator meant.