I've heard about the direct democracy in several New England towns, and their nice town centers, and I find them both admirable. I'd like to see direct democracy in action in a town meeting someday.
In Minnesota where I'm from, you rarely see a farm inside of a town, and you'll rarely see a store in the country unless you're on a major highway, so the distinction between town and country is always quite plain to see. However, while most of our towns have town centers, they're rarely anything to brag about; a main street with a few stores, bars, and cafes, a post office, sometimes the library's there. The exceptions are tourist towns and some college towns, and maybe the Twin Cities but I'm not very familiar with that area.
We don't identify with our counties here either. The only place I've ever heard of people identifying with their counties is California. Do people do that in other places? In Minnesota, I don't think counties have any law-making power, but they have important roles in law enforcement and many other areas. Townships are administrative units of the areas where there's no incorporated city, and township boards consist of about 4 elected people who vote on road maintenance. I'm guessing they also have any authority on other things like floodwater mitigation and speed limits, but I moved to a city in another state when I was 18, so I never needed to learn the details. Since most (but not all) townships consist entirely of country, their councils usually consist of farmers. The buildings the the township boards meet in are legally called "town halls", possibly because of New England influence, but since most of them are distinctly in the country, nobody thinks of townships as towns. I always think it's silly to see a building that looks like a shed with the words "town hall" painted on it, on a country road 10 miles from a town, but I wasn't there when the lawyers decided to call them that.
People in the country don't identify with their township because they do their shopping and go to school in one of the nearest towns, so they generally identify with the town they or their kids go to school in. I grew up knowing the name of my township but I don't know if the other country kids in my class new their townships' names. Back when nearly every township had a grade school, I'm sure things were different.
There are unorganized areas that don't even have townships, usually swampy areas that have less than one person per square mile. The county is responsible for these areas. Even in the unorganized areas, there are often places known by township names, either because they used to be organized or because somebody once gave them names after the land was surveyed.
I've lived in North Dakota after that, and it seems that they have a similar arrangement, except the counties seem to matter even less.
Now I live in Washington, and am surprised to see that they don't have any townships here, any area that's unincorporated is governed directly by the county (which has a great deal of power), many towns with tens of thousands of people are unincorporated, most of the counties cover very large areas, and there are constant traffic jams. What this all amounts to is that many for many of Washington's people, if they have a pothole, they need to complain to somebody who's a two-hour drive away to discuss the possibility of fixing it. I also know of a couple interesting cases of towns-within-towns here, where one town was taken over by a larger town, but the smaller town still has its own "community council" that has the authority to decline to follow laws passed by the larger town's "city council". To me, that just sounds like one too many layers of local government, but it seems to work for them. Maybe they think it makes up for all the people here with one too few layers of local government; I don't know.