Yeah, I know for a fact the Brits had more Infantry on the ground then the ANZACs. After all Australia only had the two divisions in North Africa at the time, and I think New Zealand had the same.
Im not sure why there isn't any info on the British Infantry at El Alimein. You may want to search 8th Armys History, find the Brit Infantry Divisions, and search their histories.
"Even if I wished to surrender to you - and I don't - I am commanding Australian's who would cut my throat if I accepted your Terms" Colonel C Hore, Siege of Elands River, 1900
If You want to See the Future, Read a History Book