I suppose that the view some/many of Americans have of the UK/Britain is understandable.
Why should the average US citizen have a more meaningful understanding and appreciate of life in the UK than say,Cyprus or Indonesia?
Ture many US citizens work here in roles such as the military, in industry and finance but they are in the minority.
The US is such a vast diverse country and if your born and grew up there, its understandable that you might not know or even wish to know what lies beyond your home shores.
As for special relationship..well that is a total myth and an embarrassment to your average Brit.