How do different denominations defend their interpretations of Daniel 2's prophecy? The second chapter of the book of Daniel talks about Nebuchadnezzar II's dream of a statue made of several metals and its prophetic significance for the future. I've heard people claim that this is a prophecy that accurately predicts a sequence of civilizations and empires over history that came after Babylonia - which if true would be fascinating - but I'm not sure if all denominations agree on the exact interpretation, and I've never read an overview on this topic.
Did Daniel 2 accurately predict a sequence of empires after Babylonia in accordance with secular history, and if so, which empires? What is the evidence that justifies this interpretation? Can we confidently rule out postdiction?
What is an overview of how Christian denominations answer these questions?
The prophecy of the great image in Dan 2:31-35 is one of the few Bible prophecies about which there is broad agreement, largely because it is explicitly interpreted in Dan 2:37-45.  In outline, there are five kingdoms depicted:

The head of gold is Babylon, Dan 2:37, 38.  This is agreed by Ellicott, Barnes, Jamieson-Fausset-Brown Bible Commentary, Gill, Poole, Cambridge Commentary, Pulpit commentary, Geneva Bible, etc.  The Neo-Babylonian empire was founded by Nabopolassar in 626 BC, inherited by Nebuchadnezzar the Great in 605 BC but ended with the capture of Babylon by the Persians in 539 BC.
The Chest &amp; arms of silver is Medo-Persia, Dan 2:39.  This is agreed by Ellicott, Barnes, Jamieson-Fausset-Brown Bible Commentary, Gill, Poole, Cambridge Commentary, Geneva Bible, etc.  The Medo-Persians conquered Babylon in 539 BC, and were themselves overthrown by Alexander the Great in about 330 BC.
The Belly of Bronze is Greece, Dan 2:39.  This is agreed by Ellicott, Barnes, Jamieson-Fausset-Brown Bible Commentary, Gill, Poole, Cambridge Commentary, Geneva Bible, etc.  The Greeks over-ran the great world powers at the time but finally were overtaken by Rom in the middle of the second century BC.
The legs of Iron are Rome, Dan 2:40.  This is agreed by Ellicott, Bension, Barnes, Jamieson-Fausset-Brown Bible Commentary, Poole, Gill, Geneva Bible, Pulpit Commentary, etc.  The Roman empire lasted, united, until the late 5th century AD, whereupon it collapsed and broke up u=into the various independent sates that now surround the Mediterranean sea, namely, Europe, North Africa and the middle east; this is depicted by the feet of ion and clay that will not mix or &quot;cleave&quot; to each other.
The Great Rock cut out without hands is the eternal kingdom of Jesus Christ, Dan 2:44, 45.  Thus all commentaries agree again.

The place at which most commentators diverge is the point where the Kingdom of Christ is established.  There are two schools of thought:

The Kingdom of Christ was established by Jesus Christ during His first advent (as the Christian church) and will continue and be subsumed by Jesus at His second advent
The Kingdom of Christ will be established by Jesus at His second advent (Rev 11:15) and will last eternally.

Both views have their ardent supporters and both can be defended.  I personally have trouble selecting either as I believe both are correct, but that is a topic for another question.