When Max slits the throat of the woman his assistant was supposed to kill, you can clearly see that the knife does not make contact with her throat.
In the film that has supposedly been taped over, the diner of the opening scene is clearly not in the USA, but rather in Britain, since the Fire Extinguisher (and notice above it) are both in European colors and standards, there is a notice to staff about "waste bins" and there is a British Health and Safety notice on the wall.