From my understanding, the name is only used by Christians, specifically Copts. It may be an Arab translation of an older Coptic name, Menrit, which means the same thing.
This name is also common in Pakistan, Indonesia, and Dagestan, and it's written as حبیب in Urdu, ХIабиб in Avar, Гьабиб in Lezgin, and Хӏябиб in Dargin.
Habib Abdul Habib is "Baghdad's Worst Comedian". He tours the world "singing bad songs and telling equally bad jokes". Habib appears in a number of videos by Goremy, including "A-R-A-B the rap" and "It's Been Declined". I think he is hilarious (fictitious or not) and I love his name. Read his "biography" here: http://www.goremy.com/Site/Habib.html