[color="White"].
I'm starting this thread because I believe that jewish influence in the Muslim world is an important subject that's often overlooked in the West, and I would like to begin with Turkey, which is one of the most – perhaps even the most – pro-jewish and Israel-friendly Muslim countries in the world:

Turkey was the first Muslim majority country to recognize the State of Israel.[2][3]
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Trade and tourism were booming, the Israel Air Force practiced maneuvers in Turkish airspace and Israeli technicians were modernizing Turkish combat jets. There were also plans for high-tech cooperation and water sharing.[6]
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At a meeting of the Organization of the Islamic Conference in Rabat, Morocco, Turkey opposed a resolution calling for severing diplomatic relations with Israel.[10]
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In early 2006, the Israeli Foreign Ministry described its country's relations with Turkey as "perfect."[21]

https://en.wikipedia.org/wiki/Israel–Turkey_relations

In the Ottoman Empire (the predecessor to modern-day Turkey), jews were rich and prominent merchants and bankers:

Count Abraham Camondo (1781, Constantinople – March 30, 1873, Paris) was a [color="Red"]Jewish Ottoman-Italian financier and philanthropist and the patriarch of the Camondo family.
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Count Camondo exercised substantial influence with the sultans Abdülmecid I and Abdülaziz, and over the Ottoman grand viziers and ministers. He was banker to the Ottoman government before the founding of the Ottoman Bank. He obtained from the Porte a firman extending the privilege of possessing real estate in the empire, which until then had been restricted to subjects of the Ottoman Empire, to foreign nationals.

[color="red"]Camondo was active in behalf of other Jews. He established in Constantinople a central consistory for the Jews of the empire, of which he was almost continuously the president

https://en.wikipedia.org/wiki/Abraham_Salomon_Camondo

In the beginning of the 20th century, their already-substantial influence increased exponentially when the jews known as Dönme managed to overthrow the Ottoman Empire and replace its absolute monarchy with a "multi-party democracy".

These so-called Dönme were jews who officially converted to Islam in order to infiltrate and take over their host country Turkey (or what would later become Turkey), while secretly continuing to follow their jewish religion and traditions. The jewish professor Marc David Baer has written a book about the Dönme, and this book got a positive review in the well-known jewish publication Tablet Magazine:

The Other Secret Jews

(...) But a small group of Sephardic Jews, many of them descended from conversos, did not think that Zevi’s apostasy invalidated his mission. On the contrary, they decided to follow him by [color="red"]converting to Islam themselves, while continuing to believe in their messiah and follow his commandments. This group, totaling about 300 families, became known in Turkish as Dönme, “converts,”
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For the next 250 years, they would lead an independent communal life—[color="red"]marrying within the community, doing business together, maintaining their own shrines, and handing down their secret traditions.
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And because the Dönme played an outsize role at key moments in modern Turkish history, the myth of their secret Jewish power has itself become powerful.
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The Dönme, who were prominent in the tobacco and textile industries, were initially strong supporters of political reform. Baer discusses the pro-reform articles in Dönme newspapers and literary magazines and notes that Dönme schools in Salonika were some of the most progressive in the Empire. (Ataturk attended one of those schools, though the evidence seems to prove that he was not a Dönme himself.)

Most important, [color="red"]several Dönme were leading members of the Committee for Union and Progress, the revolutionary party known as the Young Turks, who in 1908 forced the Sultan to grant a constitution. The Dönme, like Jews and Freemasons, sympathized with the CUP’s scientific, reformist program, though Baer emphasizes that the CUP was not a Dönme party—any more than the Russian Bolsheviks, though they included many Jews, were a Jewish party. Even so, [color="red"]some prominent Young Turks were Dönme, including the editor of the Party’s newspaper and the finance minister in the new CUP government.

https://www.tabletmag.com/jewish-arts-and-culture/books/23393/the-other-secret-jews

As you can see in the above article, these crypto-jews were leading figures in the "Young Turks" movement, which overthrew the Ottoman Empire and carried out the genocide against Armenians:

Young Turks (Turkish: Jön Türkler, from French: Les Jeunes Turcs)[citation needed] was a political reform movement in the early 20th century that consisted of Ottoman exiles, students, civil servants, and army officers.[1] They favoured the replacement of the Ottoman Empire's absolute monarchy with a constitutional government. (...) and [color="red"]carrying out the Armenian Genocide.[10]

https://en.wikipedia.org/wiki/Young_Turks

https://en.wikipedia.org/wiki/Armenian_Genocide

This "revolution" (read: coup, mass murders and genocide) clearly paid off because today Turkey's jews are rich and influential businessmen and journalists. Here are some examples:

İshak Alaton (2 September 1927 – 11 September 2016) was [color="Red"]a Turkish businessman and investor of Jewish descent. He is a founding partner of the Alarko group of companies.[1][2]

https://en.wikipedia.org/wiki/İshak_Alaton

Üzeyir Garih (1929, Istanbul-August 25, 2001, Istanbul) was a [color="red"]prominent Turkish Jewish businessman and a cofounder of Alarko Holding.
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He was a columnist in the newspapers Akşam and in the Turkish Daily News as well as panelist in TV programs. He was one of the highest ranked lecturers and opinion leaders among the major Turkish university circles.

https://en.wikipedia.org/wiki/Üzeyir_Garih

Encyclopedia of Jews in the Islamic World

Kamhi, Cefi Jozef

He is the [color="red"]founder and chairman of Bodrum Yalıkavak Tourism and Yacht Harbour Investments S.A. Between 1995 and 1999 he was a member of parliament, representing the center-right Doğru Yol Partisi (True Path Party). The party selected him as a candidate because of his [color="red"]mastery of public relations and lobbying, as well as the reputation of his father, Jak Kamhi, the president of the Quincentennial Foundation, who often represented Turkey in international economic forums.

https://referenceworks.brillonline.com/entries/encyclopedia-of-jews-in-the-islamic-world/kamhi-cefi-jozef-SIM_0012590

https://tr.wikipedia.org/wiki/Cefi_Kamhi

Kohen blazed a path in Turkish journalism

(...) Fluent in English, French and Ladino, the lingua franca of Jews in the Ottoman Empire until the 19th century, Kohen was raised in a journalistic milieu. His father, Albert, was founder, editor and publisher of Turkey’s Voice, which he established in 1936 and was printed in Ladino and Turkish.

https://www.cjnews.com/perspectives/opinions/kohen-blazed-path-turkish-journalism

The above article mentions several other jews who write for Turkish newspapers, like Gila Benmayor, a reporter on the staff of Hurriyet, and Soli Uzel, a professor of international relations at Kadir Has University who writes a column for Haber Turk.