At Alesia, the Romans had a smaller army in the field than their combined Gaul enemies. (Before, they probably had the largest coherent fighting force in Gaul). So both Caesars legions and Alexanders armies did fight as numerically inferior armies and still won. The ability to defeat a numerically superior army would not be the decisive point for me.
Both armies had superior discipline and - man by man - probably had better equipment than their average enemy combatant. The Persians could field greater numbers of combatants than the Gauls, but - man by man comparison - the Celtic warrior was probably better armed with defensive and offensive weapons than the Persian infantryman. The “kill ratio” was very high in both theaters of war: usually, the Persian and Gaul antagonists suffered heavy losses if they were not completely annihilated. By the way, if Roman legions encountered Asian armies equipped in the style of Macedonian phalanxes, the result was equally horrific for their Asian antagonists. So I think the quality of the enemy armies was inferior in both theaters.
The Macedonian armies probably had an edge in leadership. While Caesar was a competent leader, with the exception of Alesia, his battles needed less tactical effort than Alexander`s battles. Caesar had a heavy infantry army with a few auxiliary forces. Alexander relied on a complex cooperation of heavy and light infantry, skirmishers, heavy and light cavalry and the right timing when to use which type of army unit was crucial. Caesar relied on a proven tactical system which required organization and discipline, but needed less complex cooperation between different units.
But the question “who would win” can only be answered by a direct comparison of both armies. Legions and Phalanx did fight against each other. With few exceptions, the Legions won. Tactically, I would give Alexander a slight edge as a commander. I don`t think it would outweigh the disadvantage the phalanx had against more mobile opponents once those got past the lancepoints.
Another interesting question: what if Alexander had waged a campaign against the Romans in his time (as he had once planned). The Roman historian Livy gave this alternate scenario some thought and concluded that – while Alexander had a high-quality army and impressive achievements as a military leader – in a campaign against Rome, he ultimately would have failed. He would have faced higher attrition than in his Persian battles, the Romans could replace losses more easily, politically they were far more united than the Persian Empire with its many ethnicities, and – while Roman generals were not always geniuses – the average quality of leadership was probably higher than in the Persian armies. One lost battle would have forced Alexander to end his campaign.
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