At last some insight that explains what has happened:
Early electoral results indicate that the liberal, secular-leaning National Forces Alliance of Mahmoud Jibril, the former wartime Prime Minister of the rebels’ National Transitional Council (NTC), has swept the majority of the country’s new parliament.
Link:http://world.time.com/2012/07/10/why...#ixzz20UIxPP3N

Libya is clearly not in the same league as Egypt within the Arab World, but after a violent change of governance (NATO & US aided) one hardly expected to see the labels 'liberal, secular-leaning' forming a majority.