No
Libya joined the Arab League because it is an Arab country.
Arab Socialist Union - Libya - was created in 1971.
Soccer is the number one sport in the Arab Nations including Libya
If the Arab League involved itself in the Libya, it would have to justify why they are sending soldiers to defend Libya's right to self-determination and suppress the rights of their own citizens at the same time. The Kingdom of Jordan and the United Arab Emirates did contribute marginally to the Libya Conflict, because those two countries at least had the courage to stand up for Libya.
Lebanon, Libya
"Libya" and "Lebanon" start with "L".
Great Socialist People's Libyan Arab Jamahiriya
Morocco, Tunisia, Libya, Egypt, Jordan, Syria, Bahrain, and Yemen participated in the Arab Spring.
Libyan nation is a mix of Arabs, Berbers, Tuarig and other ethnicity. This makes Libya unlike any other arab country.
When Gaddafi started shooting at protesters in March of 2011, the Arab League had enough of him and decided to temporarily suspend Libya from the Arab League. Gaddafi himself is not a fan of the Arab League and hated almost every Arab leader in the Arab League (except for Bashar Al-Assad of Syria, Abdelaziz Bouteflika of Algeria and Ali Abdullah Saleh of Yemen, all of whom did not voiced any complaints of Gaddafi shooting at protesters)
Africa. But Libyans are not really African black, they're Middle Eastern Arab.
Egypt Sudan Algeria Morocco Libya Tunisia Mauritania