Beep beep paging u/WelfOnTheShelf ...While this specific question hasn't been answered before, let me give you some links about crusaders and cultural interaction. When Europeans conquered the Levant they became a ruling class over a mixed society of not only Arabs/Bedouins of various Islamic sects, but Jews including Samaritans, and various Christian sects of Greek Orthodox, Syrian Orthodox, Armenians, Nestorians, etc. If you're looking for a book on the subject of Western/eastern Christian interaction there's,

• The Crusades and the Christian World of the East: Rough Tolerance by Christopher MacEvitt

But if you'd like to read something for free, there's two very relevant dissertations (Szoke, Schaller) and a paper (Jotischky) on the subject that I think you'll find helpful:

• Religious Culture of the Crusader Kingdoms by Veronica Szoke

• Crusader Orientalism: Depictions of the Eastern Other in Medieval Crusade Writings by Henry Schaller

• Franks and Natives in the Crusader States: the State of the Question by Andrew Jotischky

And now various helpful askhistorians answers...

Pre-Crusades

• Christian and Islamic understandings of Holy War, by Welfontheshelf

• Pilgrimages before the 1st Crusade by Welfontheshelf

• European knowledge of Islam at the beginning of the Crusades by u/sunagainstgold

• And the same question answered by Welfontheshelf: 1, 2

• Arab knowledge of Christianity at the beginning of the Crusades by Welfontheshelf

Crusader States

• Life in the Crusader States, by Welfontheshelf

• Jousting in the Crusade States, by Welfontheshelf

• Crusader tourism or "pilgrimage industry", by Welfontheshelf

• Crusaders and the Knights Templar on Cyprus, by Welfontheshelf

Cultural Interaction

• Three answers about how Muslims and/or religious minorities were treated in Christian Europe and the Crusader States, by Welfontheshelf

• A Frankish knight spoke Turkish during the 1st Crusade, by Welfontheshelf

• Saint Francis of Assisi preached in the Muslim world, by Welfontheshelf

• Crusaders converted to Islam after being captured, by Welfontheshelf

• European translators in the Crusader States, by Welfontheshelf

• European translators in the Mongol Empire, by Welfontheshelf

• Bedouin response to the Crusades, by u/amp1212