Best we can say is that it was people very similar to the Hebrews/Assyrians/Babylonians/Egyptians. The problem is that writing was not actually invented until around 3000BC. 7500BC-3500BC is the timeframe for when Semitic peoples crossed into the Middle East through the Sahara

You're referring to Neolithic cultures, or early Chalcolithic cultures, of which much can be derived from archeological finds. This was a period before writing systems though, and often before the agricultural revolution, which only took off about the 5th millenium BC. Much can be derived however of civilisations such as the Yarmukian culture, which has been dated to 6400-6000 BC. They show evidence of community planning, monumental architecture, and knowledge of hydraulics, as well as trade networks greater than 700km, and pottery technology.

What can't really be determined is how one culture developed into another. The Yarmukian culture was suceeded by the Halaf, and then the Ubaid cultures, before the Uruk period started around 4000 BC. None of these can be directly traced to the Jewish culture that developed in the Levant during the early to mid 1st millenium BC. The Jewish culture seems to have developed from semi-nomadic tribes from the central hill region who moved into the fertile plains after the Canaanite cultures were disrupted and depopulated by the invasions of the sea peoples during the late bronze age collapse around 1200 BC.