There is some merit to that theory even if it does not include actual Neanderthals. In the continuing competition for the richest regions on earth you have to ask how and why the Arabs found themselves pushed into a region wanted by no one else until oil was found. I have my theories.
Pertaining to Abraham’s son, Ishmael (Father of all Arabs) , by Hagar the slave of Sarah:
Genesis 16:12 (King James Version)
12And he will be a wild man; his hand will be against every man, and every man’s hand against him; and he shall dwell in the presence of all his brethren.