" Any surviving genetic inheritance of the first people here would reside in the surviving Native American population of today." Yup I agree, unless they went extinct before today's American Indians arrived. The DNA seems to suggest there may have been some minimum amount of mixing.
"BTW, the Hispanics of New Mexico were here before the English colonists. This is often overlooked."
Yup. I have a friend in Texas who claims to be descended from these Spainards.(as he called them)
Something curious: The first English settlement in the United States albeit very temporarily was in Marin County, California. Drake landed there in the late 16th Century and claimed "Nova Albion" for England. How strange that the first "New England" was there.