Included with the stuff already mentioned, chicken noodle soup with big, thick egg noodles, chicken and dumplings, brats served with potato salad and baked beans, ribs (both beef and pork), and while I'm not an alcohol drinker, bourbon and "American style" beer would probably be on the menu. I know other places have them but they still seem pretty American as far as alcohol goes. Also lots of stuff with apples. Apple pie, apple crisp, apple tarts, caramel apples, apple cider. Stuff with rutabagas such as pasties would also need to be included. Macaroni salads like the tuna noodle salads and the various varieties made with miracle whip or mayo. Several varieties of biscuits (flaky, crumbly, cakey) and dinner rolls (like the super soft potato rolls). Christmas style baked hams (I love the idea of the traditional/classic Thanksgiving turkey dinner). If I could get a reasonable supply from an environmentally conscious source, stuff like trout, whitefish, walleye. Basically freshwater fish of North America. And just because, I'd probably put peanut butter and jelly sandwiches on the menu. They seem distinctly American.
Breakfast stuff would definitely include varieties of fluffy pancakes such as plain, blueberry, buckwheat, apple cinnamon, banana walnut oat, M&M, and buttermilk. Also farmers omelets (green pepper, ham, onions, celery, hash browns, cheddar cheese), skillet breakfasts (couple types here: hash browns, sausage, bacon, ham, onions, cheese fried together and topped with eggs cooked to customer's preference; eggs scrambled with apple, green pepper, sausage, bacon or ham, onions, celery and topped with cheddar and jack) and biscuits and sausage gravy. Probably donuts too.
As for a name, "What the Crazy Americans Eat", "America is Yummy Too", or probably some other stupid name because I'm not that great at coming up with restaurant monickers.