No, Kroq-Gar is the Secretary of Defense and serves under most administrations thusly. I figured the "Romney" of this ad would be another Slann.
While I don't think they would have elections and campaigns of course, I think Slann would disagree amongst themselves quite often on what they should be doing and how they should be doing it when it comes to serving the will of the Old Ones.
I figure the most common result to Slann disagreements would be a debate and discussion until a consensus is reached. Other options would include multiple Slann getting involved and taking a vote, nonlethal magical duel or gamecraft, or (rarest of all) having skink priests vote if the Slann are deadlocked.