Is Jerusalem Babylon the Great?

The destruction of Babylon the Great has a finality to it: "Then a mighty angel took up a stone like a great millstone and threw it into the sea, saying, "Thus with violence the great city Babylon shall be thrown down, and shall not be found anymore." Rev18.21

I can see several reasons to identify Jerusalem as Babylon the Great.  Revelation refers to Jerusalem as "the great city" that is "spiritually" "called Sodom and Egypt, where also our Lord was crucified." Rev11.8
Rev18.24 tells us that in Babylon the Great was "found the blood of prophets and saints, and of all who were slain on the earth."
Jesus said, ""O Jerusalem, Jerusalem, the one who kills the prophets and stones those who are sent to her." Mat23.37 "it cannot be that a prophet should perish outside of Jerusalem." Lk13.33

Reference is made of "the great city" being divided into 3 parts by an earthquake. Rev16.19 This would seem to be Jerusalem.  The same verse then says, "and great Babylon was remembered before God, to give her the cup of the wine of the fierceness of his wrath." Are 2 cities in view or one here?

The "woman" (and "harlot") is later identified as Babylon the great and is called "that great city." Rev17.18 Are all references to "the great city" the same?

Zechariah speaks of how God will make Jerusalem a "cup of drunkenness" for all the surrounding people, 12.2." This sounds a little like Rev18.3, but in Zechariah, the nations will gather against Jerusalem, while in Rev18, the kings and merchants of the earth have benefitted from Babylon the Great.  "For all the nations have drunk of the wine of the wrath of her fornication, the kings of the earth have committed fornication with her, and the merchants of the earth have become rich through the abundance of her luxury."

Zechariah 12 speaks of God making it difficult for the nations who gather against her.  God will restore Jerusalem. "And it shall happen in that day that I will make Jerusalem a very heavy stone for all peoples; all who would heave it away will surely be cut in pieces, though all nations of the earth are gathered against it." 12.3
This sounds like God will not let the nations destroy the city.  We know that the 10 kings of the beast's kingdom will destroy Babylon the Great: "And the ten horns which you saw on the beast, these will hate the harlot, make her desolate and naked, eat her flesh and burn her with fire. For God has put it into their hearts to fulfill His purpose, to be of one mind, and to give their kingdom to the beast, until the words of God are fulfilled." Rev17.16-17. God will cut in pieces those who would heave Jerusalem away, but God puts in the hearts of kings to destroy Babylon the Great.  Can God both protect and destroy Jerusalem?

We also read that Jerusalem will be "inhabited again, in her own place." Zech12.6 The word "again" and "own place" doesn't work well with the fact Babylon the Great will be destroyed and never inhabited.  The only way it can work for Jerusalem to be Babylon the Great is that the Jerusalem of Zechariah will be in another place, and her "own place" is not her former place. 

One other issue is the timing of the destruction of Babylon the Great.  There is the belief that it goes through 2 stages of destruction, first by the 10 kings, and then later by God.  Maybe the destruction by the kings doesn't render it uninhabitable, but the warning to flee from her seems to do suggest the destruction is great.  It seems whether 1 or 2 stages of destruction, it happens after the coming of Christ.  Jesus returns to the mount of Olives, and Jews will be fleeing the city at that time. Does all that happens at the coming of Christ fit with Jerusalem being Babylon the Great?  Zech14: "For I will gather all the nations to battle against Jerusalem; The city shall be taken, The houses rifled, And the women ravished. Half of the city shall go into captivity, But the remnant of the people shall not be cut off from the city. Then the LORD will go forth And fight against those nations, As He fights in the day of battle. And in that day His feet will stand on the Mount of Olives, Which faces Jerusalem on the east. And the Mount of Olives shall be split in two, From east to west, Making a very large valley; Half of the mountain shall move toward the north And half of it toward the south....".  This doesn't seem to fit with the destruction of Babylon the Great in Revelation 18, unless it happens after that time.  It seems difficult to reconcile the destruction of Babylon the Great with everything that will happen in Jerusalem in Zechariah.  It seems like to make every thing fit time wise would require the destruction of Babylon the Great by the 10 kings to be after Jesus returns according to the scene of Zechariah 14.