Drew Roy, Haley Webb and Shane Coffey have also boarded the upcoming dark comedy thriller. Production will begin in Alaska soon.
Sam Kadi is directing the indie drama about a Lebanese immigrant who wins a green card through the U.S. lottery system.
The actor will play the CEO of Themyscira Industries, where Adrianne Palicki's Diana Price works in David E. Kelley's NBC pilot.
Elwes will co-star with Natalie Portman and Ashton Kutcher.
It seems Dr. Gordon will return for the new sequel.