Apparently not a topic of great interest. I had a few additional thoughts. It's actually rather surprising that while 2 passages allude to the story (Hebrews and James) no direct linkage of the Isaac role to that of Jesus is made in the NT. Early Church fathers as early as Irenaeus do of course. Often the focus of the comparison by these early church fathers is the Isaac bearing the wood for his sacrifice equating to Jesus's cross. As I've mentioned before this story might have actually contributed this detail to the passion story. I have a theory that, given the very real controversy with early Gnostic Christians regarding whether Jesus survived the attempted crucifixion by means of substitution, the comparison might have lent to the Gnostic argument, and if there were any direct references they may have been removed.
As another interesting thought, the Koran includes a version of the story with the son unnamed. This seems unusual. The story in Genesis as it appears in context has raised lot of questions. First the story describes Isaac as the first and only son yet surrounding material has Abraham father Ishmael, his firstborn according to Genesis and the Koran famously. The Koran follows apparently later traditions regarding the son's consent, even mirroring traditions that have him insist he be 'bound tightly' to prevent ruining the sacrifice. All this leads to more questions than answers. If the Koranic author was using later Jewish material then why leave the son unnamed? The obvious answer is the identification of the son as Ishmael but if that was intended why not simply name him Ishmael in the story? It's true the Koran immediately follows that pericope with Abraham learning of the birth of Isaac, so it is implied. Who knows, maybe the writer used different sources and wove his version from what he saw.
Another point that demonstrates the Rabbinic usage of the Torah. In a number of ancient Midrashic references Isaac was actually killed. In some versions the ancient Rabbis said Isaac died by some means other than the penetration of the knife but in another not only is he sacrificed but burned to ashes. His ashes are scattered but God uses a dew and resurrects him. It's all fascinating how a confusing disturbing story inspired so much.
In the end what is quite clear is that around the turn of the era the son had been interpreted as an adult (25-37yrs old in sources I found) and the model of willing martyrdom, something not suggested in Genesis.
It's also kind of ironic that a story that likely originated in the context of human sacrifice of firstborns was rehabilitated to mean something else but wound up returning to the baser notion of human sacrifice.
I'd love if Caleboutwest or PioneerSchmioneer would discuss the modern understanding of these elements.