I'm betting that Joseph Gatt is a Klingon.
I had him down for nuKhan myself. Providing the movie's cliffhanger ending.
A Hunt for the Botany Bay. Feds and Klingons. One out to secure a threat, based on info Spock provided. The other searching for a cure to a disease ravaging the Empire.
A third party, Peter Weller's corporation, with him having his own agenda for getting to Khan first.
** ...and then I woke up, realising I'm not actually the one writing the screenplay!