The Scripture you put forth explains that Christ's life and death and resurrection fulfilled the law. It is His love that redeems a fallen sinner, not his own. His own ability to love, to perform good works, to care for his fellow man, are all reflections of God's love of Christ within him.
"Knowing that a man is not justified by the works of the law, but by the faith of Jesus Christ, even we have believed in Jesus Christ, that we might be justified by the faith of Christ, and not by the works of the law: for by the works of the law shall no flesh be justified." -- Galatians 2:16
So while Christ fulfills the law, the law actually condemns men because men cannot fulfill the law themselves.
And the law is not of faith: but, The man that doeth them shall live in them. Christ hath redeemed us from the curse of the law, being made a curse for us: for it is written, Cursed is every one that hangeth on a tree" -- Galatians 3:11-13"But that no man is justified by the law in the sight of God, it is evident: for, The just shall live by faith.
Why did God make Christ a "curse for us?"
I had to replace the batteries. :)
But I dind't really need a verse generator, because the Church teaches that everything Christ did defaults to Love.
Why did God make Christ a "curse for us?"
This is alien to me. My guess is that Christ took on our sins, and became the recepient of our ancestral curse, the way Yom Kippur's goat takes the sins of others and runs away with them.