Firstly...
Firstly, according to military laws, killing Amr would have meant the killing of one of the dangerous brutes of the Syrians. After his death the enemy forces would have been demoralized and would have run away. Mu`awiya would have lost his right hand man and Ali would have killed his most deceitful, cunning, and influential enemy. Secondly Amr ibn al-Aas belonged to an army which did not owe allegiance to Ali and was inimical towards him and his friends.
Thirdly it was Amr ibn al-Aas who had come to fight with Ali and had challenged him. If he had been as brave as Ali and had got an opportunity to kill him he would certainly not have spared him. That being so if Ali had killed Amr nobody would have blamed him. In view of the fact that Ali was the Commander of an army and on these two occasions success was at his feet, it was necessary for him not to lose that opportunity, because it is the law of war.
The real attribute of a military commander is that he does not lose even the smallest opportunity of winning the war. From purely military point of view the objection raised by the critics is correct. But the question is: “Was Ali only the Commander of an army?” What we have said about Ali so far shows clearly that there was not the least double-dealing or contrariety in his personality.
Then how could it be possible that on the one hand he should possess virtues of the highest degree and look at things with broad-mindedness and on the other hand he should be so narrow-minded and selfish that he should forsake all the values and principles only to gain victory? The fact is that he did not desire only victory in a war like other commanders but he also safeguarded rational and human principles and had a great regard for human values.
Ali's virtues and moral principles were the concomitants of his personality and he never abandoned them for even a moment. His conduct was the same in the Battle of Siffin as in the Battle of the Camel. His enemies had blocked his way to the bank of the river and had said that they would not allow him to have even one drop of water till he died.
But he advised the people in these words: • “If your brother is displeased with you try to reconcile him by means of goodness, and ward off his mischief by being kind to him”. • “Overpower your enemy by means of goodness and kindness.