Isaiah 53 presents an entire chapter about the Lord's Servant sacrificing Himself. Notice verse 10: "Yet it pleased the LORD to bruise Him; He has put Him to grief. When You make His soul an offering for sin, He shall see His seed, He shall prolong His days, and the pleasure of the LORD shall prosper in His hand."
The word "pleased" does not mean that God's mind was merely inclined in that direction. Rather, it carries as a strong undercurrent of a sense of satisfaction, even pleasure and delight. Why would one have a sense like this in relation to an excruciating and painful experience such as Christ experienced in His crucifixion? Because God foresaw the overwhelming good that it would produce.
Recall that the peace offering shows us that God is satisfied because man is in communion with Him. A man is satisfied because he knows he is accepted by God, that he is in fellowship with and sharing with Him. The Priest, Christ, is satisfied because, as the common friend of formerly estranged parties, He is happy to see them sharing due to His work. Each party encompassed by the peace offering is at peace with the others.
On the eve of His crucifixion, as He takes them through the New Testament Passover service, Jesus tells His apostles, "With fervent desire I have desired to eat this Passover with you before I suffer" (Luke 22:15). He is certainly not looking forward to the pain of sacrificing His life but to what would be accomplished as a result of His sacrifice. It would be the major means of producing peace between God and man. He knows His sacrifice would make possible a Family born of God.
God repeatedly shows that, whether in a family, business, nation, or in any aspect of God's creation, peace is a major fruit of sacrifice. Most specifically, for us it means sacrificing ourselves in keeping God's commandments and fighting human nature, holding it in check. It means being a living sacrifice by not conforming to this world or yielding to the base demands of human nature. The peace offering reveals the consequence of truly loving one another: Sacrifice is the very essence of love!