There were no "Ancient Greeks" since the word "Greek" was not coined until after the Roman conquests, approximately 600 years after the establishment of the City States and approximately 150 years after they were conquered by the Macedonians. There were only Ancient City States, but at the time they were not called Greeks! Yet today we have ten million people who do call themselves "Greeks" and do claim they are the descendents of a race of people called "Ancient Greeks" when such a name never existed at the time! Besides, how do we know that those who today call themselves "Greeks" are really "Greeks" and not the product of all the people that settled that region over the years? Is there some sort of test to prove they are pure?
The truth is modern Greeks are not only NOT direct descendents of the ancients, but their claims to being "Greek" is dubious at best. It is Greece and the Greeks that are a modern 19th century creation: Not Macedonians. History can prove that!
The greatest victims of Greek "claims" are the Greeks themselves
http://www.americanchronicle.com/articles/view/76327
The Ancient Greeks in Afghanistan
The Ancient Greeks in Afghanistan and Their Probable Descendants Today in Nuristan, Afghanistan and in the Kalash People, Pakistan
By Michael Issigonis
The Kalash People
The Kalash people of northwestern Pakistan are unique in their customs and religion. Although surrounded by Moslems in all directions (Pakistan is essentially a Moslem state), they believe in ancient Greek gods and goddessess such as Zeus, Aphrodite, Hestia, and Apollo. Their language is principally a mixture of Sanskrit and Greek. They grow grapes and make wine (an illegal action in an Islamic country) and their diet is rich in fruits, vegetables and nuts. Unlike their neighbors who sit on the ground, they use stools and chairs and their carpentry is decorated with Macedonian stars and "suns".
http://www.ecclectica.ca/issues/2002/1/issigonis.asp