The Egyptian army had quite a bit of dissatisfaction after the February coup and frankly I don't know enough of their internal politics to know who the major leaders within might be. It doesn't have to be coordinated either, once Alexandria falls and the civilians start collaborating its not like there wouldn't be and in fact was some sort of planning for Axis occupation. Osprey's campaign book on Alamein references plans to meet with and hammer out a deal with the Axis when they arrived in Alexandria among the Egyptians, but they didn't list names.
I won't get into how El Alamein was won, I don't think I'm qualified to answer. In regard to Arab opinion I think I can lend a hand.
The Egyptians surely would have cooperated with the Axis over the British. I don't think people appreciate how much British rule was hated in Egypt. Lord Cormer's, over baring

, policies permanently turned the population against British rule. The Denshawai Incident is still remembered by every Egyptian school child to this day. Now add in the February, 1942 incident and the Egyptians are even more pissed off, It was a total humiliation! I remember
Autumn of Fury: The Assassination of Sadat had some good information on Egyptian-Axis cooperation in WWII. I think It lists names of officers involved, I'll check back next time I'm at a library if interested.
Now Arab public support as a whole is tricky. Plenty of Pro German pockets in Palestine, Iraq, Syria, Jordan, and Saudi Arabia but can they be of any use?
The Arabs of Palestine are still exhausted from the 30's revolt. The Iraqis are even more exhausted from the 20's revolt and the 1941 coup. Both these areas will provide support but not that much.
The Syrians had favorable views of both Germany and Britain. The Syrians were very pro Hitler but also joined the British led Arab legion in record numbers. They joined because they thought the British would push out the French and restore Hashemite rule to Damascus. The Syrians are motivated by a want for independence and a dislike for the French.
Jordan is interesting, Emir Abdullah was very Pro British and helped the Allies alot in the war. However in 1939 he told Glubb Pasha that if things got bad enough he would be forced to switch sides. Abdullah said that he would respectfully relieve the British officers in the Arab Legion because he wouldn't want them to fight their own nation.
Finally we come to Saudi Arabia. John Philby, Ibn Saud's adviser, is pro German/hates Britain and will influence Ibn Saud in this direction. Saud himself is opportunistic and will help the Germans if he sees future profits.
So in conclusion the Germans can potentially find alot of support from Egypt and Saudi Arabia, some support from Palestine and Iraq and a little support in Syria and Jordan, unless they can flip the Hashemites.
Hope this was of some use.
