I don't think Americans have forgotten their British roots. In all the grocery stores in the town in which I grew up, there is now a British section in the imported food aisle. They have stuff like Byrd's custard, and PG Tipps tea and brown sauce and Heinz tinned beans....
I myself extend a great deal of gratitude toward Britian and the British. I am so grateful this country is here with its wonderful British people and thrilled and enjoying the fact that it's so different from America, where I grew up.
At the same time, I am so grateful that I grew up in America as opposed to here. And I'll tell you why- it's infused my being (and I didn't even know this until I moved here) with the absolute belief that I, in my standing as a human being, am equally important as anyone else, and that I don't need to be held back or down ever by the circumstances of my birth or ancestry - which happen to be less than royal or even titled.
I was having this very discussion with my British students this past week. We were talking about capitalis(z)ation and the sentence was:
The queen lives in buckingham palace.
They had to tell me which words to capitalis(z)e. They answered: queen, Buckingham and Palace.
I told them 'queen' did not need to be capitalis(z)ed unless it was part of the title of a specific queen - as in Queen Elizabeth II.
They disagreed - I asked them why - they said the word queen was a title. Then they used the example of 'doctor'. I said, 'Yea, but you only capitalise doctor when you say it as part of a name as in Doctor Welby - you don't capitalise it when you say, 'The doctor works in the hospital.'
So then I asked the other teachers in the staff room - they were split. Those who were royalists said to capitalise it and those who weren't said don't.
Then we started talking about what I'd do if I met the queen. I told them I would introduce myself and say hello to her. They asked if I would curtsy. I said, 'Probably not.' Then they asked what I'd do if I met the president (they also asked me if I'd capitalise that word, 'president' without an accompanying name (like Obama). I said I wouldn't - and I didn't without even thinking about it a minute ago in the sentence just above. I told them I'd say, to President Obama just like I'd say to them if I met them on the street, 'Hey, how're you doing,' and shake his hand - no bowing or scraping or curtsying.
Then they asked what if I went to Japan and someone bowed to me - I said if they bowed to me, I'd bow to them- but I wouldn't just start bowing to some Emporer on my own accord.
I think it's that mindset of believing that someone is automatically more important than you, not because of anything they've done, but because of the circumstances of their birth that Americans (in general) can't really embrace.
Although the original descendants of the Mayflower are held in high esteem in some circles in America-so people haven't totally forgotten their British roots or let that crap go.
And I notice a lot of American people say stuff like, 'I sorted it out' as if they're quasi-British or something.