I do believe this is a 1966, but I`m not sure about that. The car is only in the movie for the first half hour or so, until the main character is arrested and the car gets impounded.
1966 is possible. Pics will come soon. The car deserves as this is the one driven by Michael Williams (Nicolas Cage) during the first half an hour in the movie, indeed.
1967 Cadillac (100% sure because of the broad, egg-crate grille openings and the absence of a red, side-marker lamp on the tail-light housings). Possibly the "DeVille" coupe (can't really read the script name on the rear fender). If it's not a "DeVille" then it's a "Calais" coupe (entry-level Cadillac).