There is a vast difference between the Old Testament and the New. This message clearly explains the superiority of the new covenant that God has made with us. The blood of Christ does not cover sin, but washes it away. We are no longer under condemnation.
The law is only a shadow of things to come. We are powerless to save ourselves by the works of the law but Jesus Christ is the surety of our salvation. He is the high priest of a new and better covenant Who intercedes for us at the Father's right hand.