Oh, it's not that spicy, don't worry...
All the more it might be difficult because what we are looking for might not exist! It might go very well whit Gaddafi's ideology of "people in arms" where individualism and all that stuff are not very well seen. And the army suffers from much defiance from the power, affraid (in the past, all the more) of some coup by non-elite and "politicaly sure" units: all that might add prestige, such as squadrons or units names might have been suppressed, and that may be why we do not find much on the web or books.
I admit I'm not that aware of libyan military, apart from the basics lines I got there, as it was not my area of work (mine is closer to press and politics, military stuff are just a hobby)