This is the plot from a short story as I remember it. It was not a video or movie.
People in the future figure out how to bring people from the past to the future. They grab Mozart from his deathbed and "cure" him. He discovers rock music, makes great music, but becomes a head case, ODs and on his death bed people from the further future "rescue" him.
Very similar to this story: Story Identification: composer brought from the past to the future, but not the same.