Blevins, you keep assuming that you know the particulars of Alexander's ethnicity and its closeness or lack thereof to both ancient and modern Greeks. You don't. No one does. Why keep arguing about something completely unknown from a scientific perspective?
Perhaps Alexander's relationship genetically to the Greeks of his day was like the relationship between, say, the "Germans" and the Swiss Germans, if one can imagine the Swiss Germans going on a conquering spree. :) Or maybe like the relationship between the North Germans and the Danes. We can't possibly know yet.
You can't use me as some type of barometer. When I'm in America, which is most of the time, I feel very Italian. When I'm in Italy I feel American, at least where politics and the bureaucracy are concerned, and, indeed, where any institutional aspects are concerned. I guess I'm hovering somewhere over the Atlantic. :) I have a great loyalty to America, speak English every day, my children and husband are Americans, but in every cultural way from food, to what kind of daughter, wife, mother, I am, to how I go about most of my daily life, to my emotional responses, I am still very Italian. My Sardinian friend says I have the heart and sensibility of an Italian but the irony of an American. Sometimes I think I'm actually more Italian than the Italians, certainly than very young Italians.
Already before the end of the Republic there was a profound feeling among the inhabitants of the Italian peninsula that they were, indeed, "Italians", that "Italia" was a place apart in the empire. The Social War was all about being recognized as such. That spread to people of the Cispadana and Transpadana as well. It continued into the Empire. All decrees were for "Italia and the provinces". I detail all of it in this thread on Northern Italy in the Roman Era based on the book of the same name.
https://www.eupedia.com/forum/thread...taly+Roman+Era
By the first-second century AD the majority of the people in the Empire considered themselves "Romans". They didn't consider themselves Italians and were not thought of as such by the Italians themselves. Illyrians might have been "Romans", but they weren't "Italians".
That's why it's so amusing that people think a sense of Italian identity is so recent. There was just a hiatus where only the most educated held on to that sense of identity.
See:
https://www.eupedia.com/forum/thread...taly+Roman+Era