The Middle East does in fact have it’s share of dragons. Though they are a far cry from the western versions that we know. Typically from the Babylonian period(Which would be cool to see a story about, by the way.)
Humbaba or Kumbaba is a demon who assumes the shape of a fire breathing dragon and was slain by Giglamesh(A total badass hero by the way). He was however not likely an evil being as he was the guardian of the forest and is most closely viewed as a nature deity.
A better known Middle Eastern dragon would likely be the Persian dragon named Asdeev, He was in some cases believed to be a Daeva(Supernatural entity) that assumes the form of a white dragon. Despite the western culture association of white being good, Asdeev was anything but. He attacked and ate everything in sight, but was also cunning to pick and choose his targets carefully. Rostam defeated him by beheading him, and the potent poison of Asdeev’s blood ended up petrifying the body of the dragon itself.
Also from Persia is Asbarsax, the lord of 365 virtues. Not a standard dragon in that he was depicted as two legged and had the head of cockeral. Most sources would label him as a god, hence the name “Supreme being.”
But the most famous of all was likely, Baau, the goddess of dark waters. In older history the dragon was better known as Tauthe. But the name that is probably most well known these days is Tiamat, the cosmic dragon. Tiamat was probably popularized by the role of being a five headed dragon in Dungeons and Dragons, but the original depictions were not quite the same. It’s still true that Tiamat was seen as powerful even among dragons, however.
Middle Eastern dragons tend to be more supernatural in nature in their legends Like you said, they are more mysticism oriented, but they aren’t without some traits of the west culture. Which can only make sense, since quite a bit of it was at some point derived from the Greeks across the globe.
I may not remember my own birthday, or be able to do basic math, or know anything really relating to science, but if it’s information that no normal person could ever need to know or use in day to day life? I probably have some understanding of it.