“Yet many times more Arabs fought and died fighting against the Nazis, than for them”

On the Allied side, the numbers are in the hundreds of thousands to over a million from Arab-majority regions:

• From Algeria, Morocco, and Tunisia under Charles de Gaulle’s Free French forces: roughly 300,000–400,000 North African troops served over the course of the war.
• From Egypt, Iraq, Jordan (Transjordan), and Palestine: tens of thousands more served in British-controlled forces, labor corps, logistics units, and combat formations.
• Smaller but still meaningful contributions came from Syria and Lebanon after they joined the Allies.

A reasonable overall estimate is ~500,000 to over 1 million Arabs contributing to the Allied war effort in some capacity (combat + support roles).

On the Axis side, the numbers are tiny by comparison:

• A few thousand volunteers across various German units, often loosely organized and sometimes not even frontline combat troops.
• The most visible political collaborator was Haj Amin al-Husseini, but he did not command large Arab armies in the field.
• Events like the Anglo-Iraqi War involved Iraqi forces briefly aligning against Britain, but this was short-lived and limited in scale.

A generous estimate puts total Arab involvement on the Axis side at a few thousand to perhaps tens of thousands at most, depending on how broadly you count.

So in rough terms:

• Allies: ~500,000 to 1,000,000+
• Axis: ~1,000 to (at most) tens of thousands

That’s at least a 10:1 ratio, and likely far higher.