Most open-world games that take place in a real-world environment like GTA or Saints Row, and they all include some sort of police mechanic that will try to keep the player on the straight and narrow.
Usually, the cops in games can be quite lenient (apart from GTA), and the original Mafia. This has been noted by the fact that the cops will even try and pull you over for speeding.
A spokesperson at Hanger 13 addressed the concerns to how the cops will act in the upcoming definitive edition. They stated that while the police are still going to be just as strict as before, the player will now have the option of controlling just how intense they can be by using a slider. For instance, one side of the slider will unleash the Stasi while the other will present players with a much less combative and laid back group of officers.
This feature should allow both the hardcore and casual crowds to enjoy the game how they like, if they want a more hardcore experience or if they are there to enjoy the story.
Mafia: Definitive Edition launches on August 28th.