The game Robot Bryan is playing is the original Doom.
The betting board includes such bets as "Reagan dates her (first) cousin", "Reagan clones herself and has autofornication", "Reagan marries a hologram", "Hologram turns evil", "Reagan and Neil deGrasse Tyson have an affair", "deGrasse Tyson turns evil", "Reagan builds a weapon to destroy all relationships", "Reagan brings Carl Sagan back from the dead", and "Carl Sagan leaves Reagan for Marie Curie".
Wilhelm Scream: During Reagan's date in the theatre watching the Bourne Redundancy trailer.
When Robo-Reagan puts on makeup, the sound she makes is that of an old dot-matrix printer.
The title is a play on the phrase "Deus Ex Machina".