Siddiqui is a family name or surname belonging to the descendants of Abu Bakr, a companion of Muhammad. The title "Siddiq" (Arabic: Veracious) was given to the first Muslim Caliph (one of the Rashidun, or "Rightly guided" Caliphs) Abu Bakr by Muhammad. Siddiqui means The Truthful in Arabic.
The name Kaif is a Muslim baby name. In Muslim the meaning of the name Kaif is: Pleasure. High spirits.