Gadaffi World Press Review
Gaddafi Time
Kaddafi Newsweek
Khadafy Maclean's, New Yorker
Qadaffi Business Week
Qadafi Business Week
Qaddafi New Republic, New Yorker
Qaddhafi New York Review of Books, Wall St. Journal
Qadhafi US News & World Report, Wall St. Journal
Qadhdhafi Middle East Studies Association
Qathafi Libyan UN delegation

And this is just for the surname. Another spelling turned up in 1986 when the gentleman himself answered a school class's letter and the typed name under the signature was "Moammar El-Gadhafi" -- many publications then adopted this.

Cecil also attributed the Qadhdhafi spelling to the Library of Congress, which prompted a letter pointing out that the LOC actually has *32* variations on the name in its records.

Muammar Gadafi
Moamar Gaddafi
Moamar al-Gaddafi
Mo'ammar Gadhafi
Mo'ammar el-Gadhafi
Muammar Ghadafi
Muammar Ghaddafi
Muammar Ghaddafy
Muammar Gheddafi
Mu'amar al-Kadafi
Muammar Kaddafi
Muammar Kaddafi
Muamar Al-Kaddafi
Moamar El Kadhafi
Moammar El Kadhafi
Moamer El Kazzafi
Moammar Khadafy
Muammar Khaddafi
Muammar al-Khaddafi
Mu'ammar Qadafi
Mu'ammar al-Qadafi
Muammar Qaddafi
Mu'ammar al-Qaddafi
Muammar Qadhafi
M. A. Mu'ammar M. A. M. al-Qadhafi (*)
Muammar al-Qadhafi
Mu'ammar Qadhdhafi
Mu'ammar al-Qadhdhafi
Mu'ammar Al Qathafi
Muammar Al Qathafi
Muammar Quathafi
Moammar Qudhafi

http://tafkac.org/language/synonyms/qaddafi.html