MOST kosher places (meaning the fast foody types, not the high class joints) dont really serve a particular type of cuisine. you can get chinese at a burger joint, and visa versa. they usually have a majority of the menu geared to a certain cuisine, and then throw whatever the hell else they want on the menu.
its only the nicer places that actually have a menu dedicated to a specific cuisine.
so is my experience anyway. dopey, feel free to correct me. NYC might also be different than other smaller jewish communities in this regard as they have much more kosher eateries.