Islamic countries were excluded from cold-war framing despite fitting it.

Evidence

In this way, we can see how the Islamic world was differentiated, in the Western mind generally, in the United States in particular, from regions of the world to which a cold-war analysis could be applied, even though the Cold War did in fact play a role, as well as the corruptions and tyrannies of certain Islamic countries. — Edward W. Said, Covering Islam, 158