The story told on my grandmother's side of the family is that when they immigrated (over 200 years ago) they changed their names to English spellings because they so admired what the English had accomplished in America and wanted to be a part of it. For sure for decades after they still married within their own ethnic group and religion but they considered themselves American first.
Same here, LV, although admiration for the English wasn't the prime motivator, it was the desire to BE American, so much so that while my father's mother spoken broken and heavily accented English, none of his eleven siblings learned Italian. (And don't misunderstand, I'm not advocating that either.)
How many are doing that today, though, Americanizing their names? How many consider themselves American first, instead of Hyphenated-American?
Many of us are carrying around in our heads images of the way it used to be; it's not like that now and it won't be again unless a concerted effort is made in that direction and we put a boot on the necks of those who are elated at the idea that Whites will be a minority group in this country before too long. And there are a great many White folks in that group.
The sociologists have made great inroads instilling the "fact" that people are just interchangeable pieces and that none have immutable natures, none that can't be "engineered" out of them anyway.
They're wrong.