I would propose also looking at the Tunisian campaign, not just the Western Dessert campaign.
Tunisia offers the prospects of many small unit actions, as there was a far more extensive road network, railroad network, and two mountain ranges with a solid half-a-dozen passes, and plenty of djebels (stand alone hills). Lots of places for company to battalion-sized fights. There is good historical precedence for mixing Germans and Italians, French and Americans, Americans and British, and French and British (but DIFFERENT French mixing British than the French mixing with Americans) at the tactical level.
French and Italian recon elements, in full and fascinating diversity, criss-crossed the land skirmishing away, while the the French and Italian forces also provided the majority of occupation forces. The more mechanized Americans, British and Germans tended to maneuver through / around them.
(This is admittedly a generalization. There were of course several larger French and Italian formations operating just as the German or American or British formations did. But within the American and British sectors of operations there were still French forces providing occupation garrisons and recon. So also with the Italians in the German sectors.)
-Mark
(aka: Mk 1)