Well, I was quite wrong about the split police department thing (made sense based on the available information, anyway), but that's not going to keep me from posting more theories and wild guesses.
1. Lunesby may be behind "Zysk's" glowing reports of Schlock. It's in her interests to get Schlock into a position of power.
2. The fact that Lunesby used the Barsoom as "witness protection" for that murdered clown says to me that someone at Barsoom, perhaps even the owner, owes her for something.
3. If there's a connection between Lunesby and the circus, that would explain why the PD sent the mercenaries there to investigate.
4. The uplifted elephant hidden among the "normals" could well be another "protected witness".
5. Though we aren't directly told how Zysk died, the reference to musth leads me to believe Zysk was investigating the ellie, which did not please the bull one bit. This would mean that Schlock indirectly caused his death.