Is it a fake or is it real ? IT LOOKS REAL ! Most likely it looks as if someone filmed the Batmobile with his Videocam, during the shooting of "Batman Begins" in Chicago. You can clearly see the set-cars and the cameracrews.
There are also shots of a police-car with "GPD" written on it along with an emblem, that definitely stands for "Gotham Police Departement".