Contradiction with Exodus 34:6-7
God is described as merciful and forgiving, whereas Psalms 81:15 describes those who hate the Lord as submissive.
Exodus 34:6-7: And the LORD passed by before him, and proclaimed, The LORD, The LORD God, merciful and gracious, longsuffering, and abundant in goodness and truth,
Contradiction with Ezekiel 18:23
God expresses pleasure not in the destruction of the wicked, but in their repentance, contrasting Psalms 81:15's tone on those who hate the Lord.
Ezekiel 18:23: Have I any pleasure at all that the wicked should die? saith the Lord GOD: [and] not that he should return from his ways, and live?
Contradiction with Matthew 5:44
Jesus teaches to love enemies, which contrasts with Psalms 81:15's implication about hatred toward God.
Matthew 5:44: But I say unto you, Love your enemies, bless them that curse you, do good to them that hate you, and pray for them which despitefully use you, and persecute you;