SCHOHARIE, New York — The roots of faith, family, patriotism, dialect, and work ethic are a prominent feature here. One of the first modern American presidents to recognize those characteristics here and in the swath of Appalachia that extends to the southwest was John F. Kennedy, who when speaking to his Cabinet in April of 1963 said that despite automation passing it by and poverty now defining it, he did not doubt its ability to succeed.