It long been acknowledged that eastern Libya supplied the majority of foreign fighters in Iraq.
Source? Acknowledged by whom?
I cannot find any independent figures that support your assertion.
Over a period of around four years (2005 - 2009), various public domain analyses put Libya at supplying between 9% and 18% of fighters in Iraq. By contrast, the figures for Saudi range from about 45% to 55%.
On this basis, Libya (Eastern or otherwise) did not at any point supply 'the majority of foreign fighters in Iraq'.