Alexander and the Greek Gods

I find it interesting that Alexander claims to be descended from Zeus and Heracles. While this maintains his Greek heritage, at times he is almost shown as a god himself. For example, when he is fighting the Thebans, he appears to pop up almost everywhere which makes him sound like a super soldier. I'm surprised that he does not make a claim to be descended from Ares, the god of war because wouldn't that be just as effective as claiming to be descended from Zeus?