One being used specifically to refer to followers of Sayyid Qubt, the Muslim Brotherhood or its ideological descendents.
Here is a thoughtful take on the question of whether Qubtism can fairly be described as "islamofascism":
Lyttleton's review discusses some of these issues as well. Fascist movements were very much shaped by the countries in which they emerged. Different manifestations were often a by-product of a different mix of leader, party, bureaucracy, traditional institutions, and cultural heritage. In almost all cases, however, fascists "acknowledged no theoretical limits to the invasion of private life." (Lyttleton warns that, actually, "<t>he increasing intrusion of fascism into private life threatened to undermine the consensus in favor of fascism among the middle classes.") This private-public fusion is, perhaps, one reason why some commentators talk in terms of "Islamofascism," which seeks an equally comprehensive public absorption of private life. As I write here, with regard to one of fundamentalist Islam's founding fathers, Sayyid Qutb:
Pining for a theocratic Islamic caliphate, Qutb's influential "theological criticism of modern life" lamented the dualistic "schizophrenia" of the secular and the sacred, science and religion. But as is typical with religious monists, Qutb sought to collapse secular life into religion. His "deepest quarrel was not with America's failure to uphold its principles," <Paul> Berman explains. "His quarrel was with the principles. He opposed the United States because it was a liberal society" (emphasis added). The most "dangerous element" of that society was, in Qutb's view, the "separation of church and state." His version of liberation entailed an adherence to strict Islamic law ("Shariah") in defense of "freedom of conscience." But such liberation "meant freedom from false doctrines that failed to recognize God, freedom from the modern schizophrenia." It is no great leap to realize the dictatorial implications of this utopian vision, whose enforcement would echo the totalitarian projects of fascism, Nazism, and communism.
But, clearly, whatever totalitarian echoes one sees in the Qutbian vision, there are distinctions that disqualify the usage of the word "Islamofascism" to describe it, or to describe Islamic fundamentalism in general. This takes a bit more explanation, and Lyttleton's article helps.
As Lyttleton observes, "fascism was something else, something new and disquieting in its ability to mobilize positive enthusiasm and dedication, a form of modern mass politics." One of the keys to understanding fascism is its identification as "national socialism," or "national syndicalism," or more precisely, "nationalist socialism." And therein lies some of the parallels, not with theocratic Islamic fundamentalist dictatorships, but with quasi-fascist military dictatorships in the Arab world. There is a key difference between these military dictatorships and the regimes that neocons criticize typically as “Islamofascist.” The military dictatorships in Egypt, Syria, and Iraq took power in comparatively “secular” Arab countries. The whole Pan-Arab nationalist-socialist movement was opposed to the fundamentalists; in fact, as a member of the fundamentalist Muslim Brotherhood, Qutb himself was executed in 1966, under the Egyptian dictatorship of Gamal Abdel Nasser.
http://hnn.us/blogs/entries/7830.html
NB: The "liberty and power blog" appears to be a collective of Ann Rynd objectivist historians.
As for Sciabarra's argument, I think it's insightful, but one critisism I have is that many people who make the argument about the Muslim Brotherhood being "islamofascist" focus on Hassan al-Banna and Amin el-Husseini's ideological and, it is alleged, operational ties to Nazis. I have read some of the writings of
Matthias Küntzel and found the thesis provocative, but ultimately not persuasive. Regarding al-Banna in particular, it seems that Küntzel's strongest claims are based on secondary sources. I have read a few of al-Banna's tracts (in English translation) which in my opinion contain discredited kinds of racial theories, zealous fundamentalism, totalitarian overtones and anti-Semitism, but nothing that signals the unmistakable imprint of Nazism.
One of Scardino's points stuck in my mind:
To make Bush-Hitler comparisons work requires more nuanced historical references - to the night of the long knives, for example, as Sidney Blumenthal did about the dismissal of Colin Powell. Unfortunately for liberals, those references don't work as efficiently as islamofascism does for the right, because to imagine the appropriately creepy picture requires a familiarity with German history of the 1920s and 30s.
I'm not sure that's completely true. It bears thinking about. One thing I am sure about, as a casual observer of style rather than history, is that Hitler is being done to death. The left would do well to consider other historical analogies. (Benito Mussolini and Maximilien Robespierre are among my favorites, but that's just me.)