King Wilhelm II visit Istanbul and Palestine, they tried to build Baghdad-Berlin railway, they allied with the Ottomans in World War 1
What is exactly in their mind, what is in the mind of Von Bismark?
even Nazi Germany had a good stance, and you find right wing groups accusing Muslim of being Nazi themselves by bringing evidence of Haj Amin, Slavic Muslim serving the SS, Hitler's word of favor towards Muslims, non-Aggression pact with Turkey,
even the Prussian King Frederick II the Great said "If Turks and heathens were to come to populate the land, we shall build mosques and churches"
Fredrick 1 even had soldiers from the Tatar background escaped from Russia as his personal guard. They have Muslim cemetery and hall for their prayer
I guess they were busy having bad stance towards jews.
Realistically it can be an attempt to find more allies since muslims countries are crowded.
The pre-WW1 policy was mostly a post-Bismarck affair. Bismarck famously hadn't considered the Ottoman lands (specifically the European part) "worth the bones of a Pomeranian grenadier". William's second tour in 1898 marked a stepped-up drive for influence. Why? Support for Turkey offered a counter to Russian ambitions and intermittent Anglo-French meddling. The Middle East sat squarely between British-ruled India and Egypt, and between Russia and the Indian Ocean. And a pro-Muslim stance offered a chance to embarrass all three Entente powers which ruled substantial Muslim populations or had designs on Muslim lands (eg Syria, long coveted by France). There was also an economic motivation: the region offered commercial opportunities to a Germany that felt left out of the European scramble for colonies.
Policy from the mid-1930s coupled similar geopolitical considerations with Nazi hatred for Jews. Arab-Jewish relations deteriorated around the same time, as Zionists were accused of seeking a Jewish Palestine. Arabs were also angry at post-WW1 British and French Mandate rule in Palestine, Iraq and Syria-Lebanon. The region's oil was also becoming a global factor. European Muslims too became a source of wartime recruitment.
Allied policy repeatedly played into German hands, alienating first Turks, then Arabs. But German policy (like that of rival powers) was founded throughout on calculation rather than commitment.