Does the American Caucasians still have a strong connections with their British roots?

I think the Canadians still has that sort of feelings since Canada were the last former British Empire in North America.This is also why they were accepted as part of the British Commonwealth nations just like India,Pakistan,Singapore,Malay... and Australia. How about the people in the United States?I still believe they have many blood relatives in the UK or in the other regions of the European blocks that they haven't seen or met since half a century ago.Why the United States Of America were not listed as part of the Commonwealth nations?I'm very sorry to ask these questions since i don't know much about the history of North America.Hope you guys would mind to give some infos about these.For those who replied,thanks a lot:-))