You should follow you own advice. There's no universally accepted authority for transliterating Arabic names. Variations on his first name include Muammar, Moammar, Mu'ammar, and Moamar.

Variations on his last name include, Gaddafi, Kaddafi, and Qadhafi. You then have to decide whether you want to add the Arabic prefix "al-" before his last name. Which can also be spelled "el-." And then you have to decide whether the prefix should be capitalized.

http://www.csmonitor.com/World/2011/0222/Gaddafi-Kadafi-Qaddafi-What-s-the-correct-spelling