I was not able to find pictures from the period of the film "Kingdom of Heaven" (circa 1180).
I do know of quite a bit of art from the early 1200s, so i'm presenting some here for those curious about what they could have been wearing in Jerusalem.
Local people regardless of religion would have dressed similarly - although there would be differences such that the locals could tell each other apart. And of the Europeans who had moved there, some began adopting local dress or aspects of it, too.
The following were selected to show both men and women. They were all painted in Syria or Iraq - whose styles were so similar scholars often can't tell them apart - and date from 1222 to 1237, except as noted...
Some are clickable for a closer look...