And in general, your obsession with of the British is strange to me, because as you note, most Americans are not British and it's been that way for most of American history. Of course, there have been many great British Americans. But if we're weirdly keeping score, it's seems obvious that there would be a larger number of great Americans who weren't British?
Cedar Rapids, Iowa, reflects the impact of mass German immigration. Little Bangladesh in Queens reflects the impact of mass immigration from my country, Bangladesh. Would I rather live in a country where the government, institutions, etc., were like Little Bangladesh, or like Cedar Rapids? That’s not even a serious question. My fear about immigration is that, over time, the country will become more like Little Bangladesh and less like Cedar Rapids.
Most Americans aren’t British, but most Americans do carry on British culture and norms to varying degrees. If American soil really was magic, and you could take 100,000 Bangladeshis and they’d become cultural New England Puritans instantly, I’d be in favor of open borders.
And even though British Americans long ago became a minority--the single largest ethnic group is Germans--there is shockingly little influence from any other group in America's core political, legal, and civic institutions. Our constitution and laws have more ideas from ancient Rome and Greece than from all contemporary foreign cultures combined. The Ivy League schools that still dominate our bureaucratic and professional class were founded by British Americans as copies of Oxford/Cambridge. Silicon Valley arose around Stanford University (Stanford being an English surname) and a U.S. military that at the time was still dominated by British Americans. Wall Street is a direct descendant of London's financial sector, though it has some influence from New York's history as a Dutch city.
That's the reason the United States is economically, politically, and culturally more similar to Australia than to Mexico, despite being on the opposite side of the planet from Australia and diverging politically 250 years ago. To the extent the U.S. is an "immigrant nation," that is only in the sense that many immigrants and their descendants happen to live here. But those immigrants are governed and organized by the (now nearly dead) hand of the Anglo-Protestants, through their law, norms, principles, and institutions.
A good bit from the late Justice Scalia on this: https://www.facebook.com/TrueTexasProject/videos/antonin-sca...