Portal
Egypt was always a difficult province for the Ottoman Sultans to control, due in part to the continuing power and influence of the Mamluks, the Egyptian military caste who had ruled the country for centuries. As such, Egypt remained semi-autonomous under the Mamluks until it was invaded by the French forces of Napoleon I in 1798. After the French were expelled, power was seized in 1805 by Muhammad Ali Pasha, an Albanian military commander of the Ottoman army in Egypt. (That's when Ottoman rule ended)
http://en.wikipedia.org/wiki/Egypt_Eyalet
Egypt had a war with Ottoman Empire in 1831–1833. Egypt won and so:
FOREIGN PRESSURE
The Egyptians were eventually forced to call off the invasion because of British and French pressure.[1] Although they initially backed the Pasha, they threatened military action against him if he did not halt his advance. They feared that if the Egyptians were to continue advancing, an already severely weakened Ottoman Empire, would collapse and leave a power vacuum, in which Russia could possibly take or gain advantage.
AFTERMATH
Egypt was left in control of Syria and much of Arabia. At the Convention of Kutahya, held in May 1833, Syria and Adana were ceded to Egypt, and Ibrahim became governor-general of the two provinces. Later that same year, the Ottomans signed the Treaty of Hünkâr İskelesi with Russia, in which both countries agreed to mutual assistance should either empire enter a military conflict.
http://en.wikipedia.org/wiki/Egyptian%E2%80%93Ottoman_War_(1831%E2%80%931833)
No doubt that Egypt was a strong force that he Ottomans had to deal with. In the game Egypt should have had more cities. Rebellion should be strong in those cities. Then eventually it breaks off. Then it becomes a playable faction, like the American colonies for example.
Egypt is completely underrated in this game and that takes away from the game's plausibility.
P.S.: Egypt, at that time, also conquered Sudan and Libya. It also owned a couple of cities in modern day Saudi Arabia. It also did a campaign against Greece, but foreign pressures made it withdraw.
