Looking back to history to find yet another approach to atonement will not solve the problem, but a reconsideration of the physical or mystical theory of how Christ saves us might contribute to more fruitful and civil conversation.
Christians have never embraced blood sacrifice. We have not offered chickens or slain goats, let alone sacrificed our firstborn children to God. Indeed, the very idea of blood sacrifice is abhorrent to us, evoking an almost involuntary visceral reaction. It sends chills down our spines and stirs deep within us a strong impulse to act against such a horrific practice.