Why are they praising the Mycenaeans? The Mycenaeans practiced slavery (see Achilles and Briseis) and waged a war of choice over a Spartan hussy.
There is an interesting discussion of the Minoan and Mycenaean inhabitants of Greece in Jean Manco, Ancestral Journeys: The Peopling of Europe from the First Venturers to the Vikings (rev. ed., 2015). It appears that attempts to extract ancient DNA from Greece and Crete from the Neolithic and Bronze Ages have been largely unsuccessful, apart from some mitochondrial DNA from bones buried in Grave Circle B at Mycenae (they found haplogroups K and U5a1--which could come either from the Indo-European-speaking invaders of Bronze Age Greece or from groups there before the Proto-Greek speakers arrived).
Manco concludes that modern Greeks are, like all other European nations, a mixture of the three main components that contributed to the European genetic heritage: the Paleolithic/Mesoplithic hunter-gatherers, the Neolithic farmers (immigrants from the Near East--Taurus Mountains/Zagros Mountains areas of eastern Turkey and NW Iran), and what is called "Ancestral North Eurasian" which spread westwards from Siberia, bringing in the Y-DNA haplogroup R, which is very widespread in Europe today.
“Mesoplithic” should have been “Mesolithic.”
My dads mother, Mrs Smith, had mtDNA haplogroup U5a, same as Cheddar Man.