Английская вики почему-то не согласна, что хазары и хазарейцы одного корня.
Khazars - Their name is accordingly derived from Turkic *qaz-, meaning "to wander, flee." (c)
Hazara people - The name Hazara comes from the Persian word hazār, which means "thousand". Originally, the term was used to refer to a Mongol military unit of 1,000 but was later applied to a distinct group of people. (c)