A few observations:
1) Saladin's helmet: Saladin was renouned and greatly respected for his humility and the simple life he lead. It therefore would be appropriate that his personal arms were simple and functional rather than austentatious.
2) Curved swords: in that period the swords used by the Muslim army were straight. Turkish curved swords came later (see below).
3) Mamluks: in Saladin's time the Muslim army was mainly composed of "Arabic" peoples, loosely defined -- Berbers, Arabs, probably Persians. The later Mamluks were Turkish slaves trained exclusively to fight, some say in emulation of the military monastic orders (never heard of the Nubian mamluks -- that is very interesting). Baibers, who finally drove the Europeans out of the Levant, was a Turk, but not a Kwarisman. The Kwarismanian turks were invited in to fight the Mongols, but got out of control and attacked Egypt and the Crusader states and were with difficulty defeated.
Errors and omissions are categorically denied, and if pointed out will be re-written to conform to the most recent with currrent official history, which itself will be rewritten or simply expunged to the extent that it varies from the canon noted above. Oink.