The problem you are having is the projector is projecting the film at 24 frames per second and the camera is 30 fps. The problem is not the camera, but the projector. A telecine projector will have a special shutter with a different number of blades that eliminates the flicker. You have two options, send it in to lab to get it transfered, or buy a new projector. Elmo made them at one time, but all I see is a 16mm unit on their website.
Do a search of film to tape transfer and see what you come up with.