Contradiction with Isaiah 2:4
While Micah 4:7 speaks of the Lord reigning over Mount Zion, Isaiah 2:4 talks about judging among nations and nations not learning war anymore, which can be seen as a contradiction if interpreting God's role being centralized in Zion.
Isaiah 2:4: And he shall judge among the nations, and shall rebuke many people: and they shall beat their swords into plowshares, and their spears into pruninghooks: nation shall not lift up sword against nation, neither shall they learn war any more. [pruninghooks: or, scythes]
Contradiction with Matthew 10:34
Micah 4:7 talks about God being the peaceful ruler, whereas Matthew 10:34 suggests Jesus did not come to bring peace but a sword, a contradiction in the type of peace referenced.
Matthew 10:34: Think not that I am come to send peace on earth: I came not to send peace, but a sword.
Contradiction with Jeremiah 23:5
Jeremiah 23:5 indicates a righteous branch being raised who shall reign as king and prosper. This could be seen as contrasting the idea of God reigning alone from Micah 4:7 with the notion of a human descendant reigning.
Jeremiah 23:5: Behold, the days come, saith the LORD, that I will raise unto David a righteous Branch, and a King shall reign and prosper, and shall execute judgment and justice in the earth.
Contradiction with Revelation 11:15
While Micah 4:7 asserts eternal kingship over Zion by God, Revelation 11:15 speaks of the world's kingdoms becoming the kingdom of our Lord and His Christ, introducing the concept of Jesus as co-ruler.
Revelation 11:15: And the seventh angel sounded; and there were great voices in heaven, saying, The kingdoms of this world are become [the kingdoms] of our Lord, and of his Christ; and he shall reign for ever and ever.
Contradiction with Psalm 2:6-7
Micah 4:7 talks about God's rule from Zion, Psalm 2:6-7 introduces the concept of God installing His king on Zion, His holy hill, which might appear contradictory regarding who is directly ruling.
Psalm 2:6-7: Yet have I set my king upon my holy hill of Zion. [set: Heb. anointed] [upon...: Heb. upon Zion, the hill of my holiness]