Certainly, we have access to the same stuff, and many of us enjoy similar food, but I mean, Californians put avocado on everything, and you're not going to get Gumbo in Seattle.
America has a national food culture that kind of exists on top of the local one.
However, most Americans do not cook the way fast food restaurants produce food. Also, chains differ. For example, in the south, there are often different proportions of chains. Most people eat their local diet.
I notice it all the time. Contrary to popular belief, these 'ethnic' places are not expensive or fancy. When I lived in California, I often ate at cheapo Mexican restaurants and cheap asian ones. Now that I live in Oregon, I often find myself at cheapo pub fare type places or food trucks serving Lebanese food.
Cuisines change a lot across the country. The fast food system is a homogeneous layer superimposed on top of that. Most people do not eat that everyday.