The Importance of Replacing Christ for Our Sins

Only the Son has a human nature which is actually crucified and undergoes that imputation of sin. The Father's role in the crucifixion, it seems to me, would be to administer justice to punish Christ for our sins. And so we do die in Christ insofar as we identify with him and appropriate the benefits of his death. But when we die, we die without the sting of death because we have hoped and trusted in what he did.