Contact the Smithsonian
RSR says we should complain and ask the Smithsonian to return the $16,000. I say they should use the money to fix the rust on planes, fix the roof leaks, and repair the water-damaged books, and tell the DI that they used false pretenses to get the screening, so the money is forfeit.
In any event, you should politely let the event staff at the Smithsonian that they may have overlooked the political and religious content of the event, and suggest that the abuses of the Smithsonian's name by event promoters may have breached their agreement.
I did say politely, right? These people are not professional scientists, and may have been genuinely unaware of the controversy they stepped into. Educate them gently and ask that they review the situation. The worst outcome of all this for the science side would be if this smacked of censorship. The best outcome is for the public to be reminded that DI doesn't play by the rules, and tries to sneak its ideology around the rules.
Surely claiming that the Smithsonian endorsed the ideas in the movie violates the requirement that "The Special Events Coordinator will be required to approve all event plans, including invitation text, speaking program, the use of logos, and vendors. The name of the Museum and the Smithsonian Institution may not be used on any document without prior approval by the Museum."
National Museum of Natural History
10th Street and Constitution Avenue, N.W.
Washington, D.C. 20560-0135
Randall Kremer, 202-633-0817
Michele Urie 202-633-0820
Special Events e-mail address: firstname.lastname@example.org