The annual Jewish sacrifice doesn't cover intentional sin--nothing in Judaism does. Yet Abraham was declared righteous before the law. Perhaps it's the Jews who need to consider biblical teachings in a new light.
I believe one of the main themes of the Old Testament is to point to God's coming Messiah, and I believe indicators of the coming Messiah are found throughout the Old Testament, from Genesis, to Psalms, to the prophets.
The problem is that Christians teach that the Tanakh teaches us that we are to "believe" in the Messiah when he comes or we will burn in hell eternally. It's not in there.
Christians believe that the New Testament and the Old Testament are inspired holy Scripture from God, and that the New Testament interprets the Old Testament.