Cameras cut to members of Clinton's family, who sit in the stands in anticipation.
As Bill Medley opens the song, Trump lifts his microphone and seemingly sings along.
Clinton sits looking at Trump with what some would say is a gaze of adoration -- similar to the way Frances "Baby" Houseman stared at Johnny Castle in many of the film's scenes.
Audience members watch the exchange in the same way crowds watch some real musical performances. At one point, Ivanka Trump is shown nodding in sync with the song's beat. Her hairstyle is an updo that favors one dancer Penny Johnson, played by Cynthia Rhodes, wore in the movie.
The "duet" continues when the two start "singing" at the same time. Images show a time when Trump and Clinton were talking over one another during the debate.
The video has more than 3.5 million views and 41,000 reactions on Facebook.
Other comments online said images of Trump and Clinton at the debate would be good for recreations of other songs, including "Baby, It's Cold Outside," "You're the One That I Want" from "Grease," Black Eyed Peas' "Where Is the Love?" and "Islands in the Stream" by Dolly Parton and Kenny Rogers.