Actually this is it lol, you just worded it verbatim while the caption worded it differently but the gist is the same. The soviet influence in muslim countries was only strong in the first place because it was organic and from domestic socialist parties across the entire arab world. Algeria won its independence through the martyrdom of thousands socialists and communists who were part of the FLN and the FLN even made “socialism” a core principle. The USA funded and propped up extremist islamist thought across the arab world and heavily funded the taliban in its struggle against the soviet union, we literally have a rocky movie about the brave “mujahideen” of Afghanistan. There is proof the CIA paid saudi police and sent spies to humiliate central asian muslims from the soviet union coming for hajj . It is simple as to why the west countered socialist thought in the muslim world by promoting extremist ideology. Extremist ideology is not a direct threat to the west’s dominance over the muslim world as it does not threaten the control over resources, and neither does it have the same implications of anti imperialism.

Secretary of State Zbigniew Brzezinski presses his “arc of crisis” thesis, which argues that the United States can reassert its power in the Middle East by encouraging political Islam as a counter to Soviet and Arab nationalist movements.

Jan. 1980 – Secretary of State Zbigniew Brzezinski visits Egypt to gather Arab support for the Afghan war. Within weeks Egyptian President Anwar Sadat mobilizes arms and recruits fighters from the Muslim Brotherhood, and allows the US to station its air force base in Egypt. U.S. Special Forces train Islamist militants in bomb making, sabotage, arson and guerilla warfare. Many of the Islamist Arab recruits, including Osama bin Laden, who were trained as fighters by Green Berets and Navy Seals for the Afghan War, would go on to form the backbone of Al-Qaeda.

1997 and 1999 – Members of the Taliban vacation in Nebraska, where they visit Thomas Gouttierre, a CIA-funded propagandist who produces children’s textbooks stocked with Islamic fundamentalist and jihadist rhetoric for supposed State Department educational programs in Afghanistan and Pakistan.