There is no doubt that the Khazars converted to Judaism because they expected to inherit that huge amount of land in the Middle East from the River Nile to the River Euphrates which is mentioned in the bible.
Theodor Herzl:
The northern frontier ought to be the mountains facing Cappadocia; the southern, the Suez Canal. The slogan to be circulated: The Palestine of David and Solomon!
(Theodor Herzl Diaries – Vol 1 – Page 342)
Discussed with Bodenheimer the demands we will make. Area: from the Brook of Egypt to the Euphrates.
(Theodor Herzl Diaries – Vol 2 – Page 711)