There were no Jews 8,000 years ago. In fact there were no people that have the Halachic status of people 8,000 years ago. Hominids only became Halachically human about 6,000 years ago. Jews only existed for 4,000 years.
Recently I see Middle Eastern listed together with actual races to choose your race on a survey. If white or Caucasian is listed as well as Middle Eastern, I check off white. White is a race. Middle Eastern is an ethnicity. They probably added Middle Eastern since stupid Arabs don't know their race or don't identify with their race. Caucasian is supposed to include Europe, parts of Asia, and North Africa. If they would list European, rather than white, with other choices including Middle Eastern, then I would choose Middle Eastern.