Between June '40 and June '41 the UK sank 125 Axis supply ships in the Med, sending 450,000+ tons of supplies to Davy Jones locker. This represents a bit less than half of supplies sent. No campaign can succeed with this kind of attrition, especially the axis with a shortage of vessels. During April/May '41(During Crete assault and initial landings in Africa the Axis lose 52 vessels and 240,000 tons of cargo(thats 66% of all cargo). When 2 out 3 ships you send dont get through, you have problems.
All of Rommels advances were halted by lengthening/failing supply lines. Unless someone time transports C-130's to the Luftwaffe I dont see how they win in the desert.
Remember, just because of political ramifications the UK didnt use the bulk of her Indian troops abroad, doesnt mean she wouldnt in a pinch. Tens of thousands of Indians can be moved to Egypt quickly.

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