Contradiction with Isaiah 57:21
Isaiah 57:21 speaks of there being no peace for the wicked, whereas Psalms 76:8 indicates judgment brings peace.
Isaiah 57:21: [There is] no peace, saith my God, to the wicked.
Contradiction with Jeremiah 8:11
Jeremiah 8:11 mentions treating the wound of God's people superficially with "Peace, peace," when there is no peace, contradicting the implication of resolution in Psalms 76:8.
Jeremiah 8:11: For they have healed the hurt of the daughter of my people slightly, saying, Peace, peace; when [there is] no peace.
Contradiction with Matthew 10:34
Matthew 10:34 quotes Jesus saying he did not come to bring peace but a sword, contrasting with the peaceful outcome of judgment in Psalms 76:8.
Matthew 10:34: Think not that I am come to send peace on earth: I came not to send peace, but a sword.