You pay enough money and you will pick the setlist. I do networking for large corporate events and recently got to see Metallica play for about 1500 salespeople in a small pier building. Metallica changed lyrics to a song to reference the client. Besides that, they actually played better than any of their regular shows on tour.
If you pay what the bands want, you'll get them to play whatever.
I'm sure everyone has their price... However, a custom KD set would almost certainly require rehearsals of songs the band hasn't played in years (if at all, together as a group). Unlike Metallica, who make a point of having an "anytime" repertoire of their full catalog, KD tends to focus on a core set, since the band has to gather from around the globe to rehearse prior to a tour (and the crew has to work out all of the set changes, since the theatrical experience of a KD live show demands a lot of coordination in the background). Asking King and company to do all this for a one-off show... All I can really say is that I hope you brought your wallet to that meeting. The financial pre-show guarantee would have to be off the chart to make it reasonable for that much preparation. Metallica could obviously afford to take a loss in stride, but I'm not so certain that King's booking agent(s) would be willing to take a similar risk.
That said, I wish you luck with that. If it comes off, I'm sure that most, if not all, of the people on this forum would be thrilled to hear about it.