Is it possible that the four beasts in Daniel 7 do not sync-up with the four parts of the image in Daniel 2?

The four parts of the image in Daniel 2 are seen to represent Babylon, Medo-Persia, Greece, and Rome.

However, isn't it difficult to sync them up to the the four beasts in Daniel 7?

First, didn't Daniel have the chapter 7 vision after Babylon's final king, Belshazzar had begun reining?

Daniel was given the interpretation of the four beasts:

Daniel 7:16 I came near unto one of them that stood by, and asked him the truth of all this. So he told me, and made me know the interpretation of the things.

  17 These great beasts, which are four, are four kings, which shall arise out of the earth.

There was no Babylonian king to arise after Belshazzar, correct?

Then wouldn't that mean that the first beast would line up with Medo-Persia, the second with Greece, and the third with Rome?

Also, isn't there an indication that the first three beasts are around, in some fashion, in the last days?

Wouldn't that then leave the fourth beast to be a description of the end time kingdom of the antichrist?

So for the first three beasts, back then:

Daniel 7:4 The first was like a lion, and had eagle’s wings: I beheld till the wings thereof were plucked, and it was lifted up from the earth, and made stand upon the feet as a man, and a man’s heart was given to it.

Could the man's heart given to it, help explain Darius' attitude toward Daniel, and Cyrus' attitude about rebuilding the temple,

and Ahasuerus toward Mordecai, Esther & the Jews in his kingdom, and Artaxerxes toward Ezra, Nehemiah & Jerusalem?

Daniel 7:5 And behold another beast, a second, like to a bear, and it raised up itself on one side, and it had three ribs in the mouth of it between the teeth of it: and they said thus unto it, Arise, devour much flesh.

Could then the, "raised up itself on one side", explain Alexander's mostly eastward conquering?

Also, wasn't the conquests of the young Alexander very great for such a short time, i.e. devoured much flesh?

Daniel 7:6 After this I beheld, and lo another, like a leopard, which had upon the back of it four wings of a fowl; the beast had also four heads; and dominion was given to it.

Could the four wings help explain that Rome conquered in all four directions?

Didn't they conquer west to Gaul and Spain, then north to Britain and part of Germany,

then south from Carthage to Egypt on the African continent, and east into Middle East of Asia?

Then after the second advent and judgment described in lines 9 & 10,

isn't there a description of what happens to these beasts at that time?

Daniel 7:9 I beheld till the thrones were cast down, and the Ancient of days did sit, whose garment was white as snow, and the hair of his head like the pure wool: his throne was like the fiery flame, and his wheels as burning fire.

  10 A fiery stream issued and came forth from before him: thousand thousands ministered unto him, and ten thousand times ten thousand stood before him: the judgment was set, and the books were opened.

  11 I beheld then because of the voice of the great words which the horn spake: I beheld even till the beast was slain, and his body destroyed, and given to the burning flame.

  12 As concerning the rest of the beasts, they had their dominion taken away: yet their lives were prolonged for a season and time.

Doesn't it say that the fourth beast will be slain, body destroyed, and given to the burning flame?

But doesn't then say that the first three beasts had their dominion taken away, and their lives prolonged for a while?

Does that indicate that some people of those three kingdoms will survive into the thousand year kingdom?

So, how do those first three beasts fit into the world scene today, if these are indeed the last days?

I've heard people say that the bear today would be Russia, since it considers itself as a bear,

it has the Orthodox religion like Greece, and it's Cyrillic alphabet is more Grecian than Roman in its origins.

Could that be so, or are those simply coincidences?

Or is it only speaking about the peoples of what used to constitute those original three beast kingdoms?