The percussion on the Passion soundtrack isn't really Middle Eastern. I just listened to it again to be sure, and I couldn't hear anything Middle Eastern about it except a darbuka on two tracks. Even the darbuka wasn't played in a idiomatically Middle Eastern fashion. So I looked at the credits and saw the following instruments listed:
doholla
octoban
shaker
surdo
tabla
talking drum
tambourine
Only the doholla is an actual Middle Eastern instrument. It's the darbuka I heard. It was played by Peter Gabriel, which would explain why it didn't sound like it was played in a traditional manner. There are also some generic credits like "percussion", "drums", and "African percussion". Some of the "drums" credits are drum kit played by Billy Cobham and Manny Elias.
In conclusion, if you want that sound, you don't need a Middle Eastern percussion library, you just need a general percussion library that has an assortment of instruments.