It's true that colonial New England was almost exclusively English (from southeast England) while the South had more Scots-Irish and Scots - but English ancestry is more common in the South. My point is "Scotch-Irish" seems to be a proxy for white Southerner, even though English ancestry is actually more common. The argument that the Civil War had something to do with a clash between Anglo-Saxon and Celtic culture is ludicrous.
The Celtic capital of North America would be the Canadian Maritimes.
I don't know too much about the Maritimes, but in the U.S., New England nowadays is unequivocally the center of any potential 'Celtic' culture.