God showed His love for us by dying on the cross in order to save us. The Cross – the place where the Crucified Lord dies – is His very throne of judgment and His righteousness. This is the great mystery of God’s revelation in Jesus Christ.
In the end, God has no desire for the death of the sinner, nor does He take any pleasure in such a judgment. God however does, as He always has, allow us humans to make our own choices even about eternal things. C.S. Lewis wrote in The Great Divorce –
There are only two kinds of people in the end: those who say to God, “Thy will be done’, and those to whom God says, in the end, ‘Thy will be done.’