Rev 17:3 is clearly explained in verse 7-11.   This is not literal Babylon, its the "Mystery" Babylon.

Rev 17:7-9
7 And the angel said unto me, Wherefore didst thou marvel? I will tell thee the mystery of the woman, and of the beast that carrieth her, which hath the seven heads and ten horns.
8 The beast that thou sawest was, and is not; and shall ascend out of the bottomless pit, and go into perdition: and they that dwell on the earth shall wonder, whose names were not written in the book of life from the foundation of the world, when they behold the beast that was, and is not, and yet is.
9 And here is the mind which hath wisdom. The seven heads are seven mountains, on which the woman sitteth.
(KJV)

This hardly sounds like its speaking of America to me.   Seven mountains?  Sounds more like Rome to me.  Acient Babylon as we all know was a city In Iraq.   But mystery Babylon is seven mountains that the women or whore sits on in Revelation.   IMO these are two different Babylons and neither appear to be America.

As for Daniel 7.  It also is explained a few verses later.

Dan 7:16-24
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.
18 But the saints of the most High shall take the kingdom, and possess the kingdom for ever, even for ever and ever.
19 Then I would know the truth of the fourth beast, which was diverse from all the others, exceeding dreadful, whose teeth were of iron, and his nails of brass; which devoured, brake in pieces, and stamped the residue with his feet;
20 And of the ten horns that were in his head, and of the other which came up, and before whom three fell; even of that horn that had eyes, and a mouth that spake very great things, whose look was more stout than his fellows.
21 I beheld, and the same horn made war with the saints, and prevailed against them;
22 Until the Ancient of days came, and judgment was given to the saints of the most High; and the time came that the saints possessed the kingdom.
23 Thus he said, The fourth beast shall be the fourth kingdom upon earth, which shall be diverse from all kingdoms, and shall devour the whole earth, and shall tread it down, and break it in pieces.
24 And the ten horns out of this kingdom are ten kings that shall arise: and another shall rise after them; and he shall be diverse from the first, and he shall subdue three kings.
(KJV)

The first kingdom was Babylon which became world empire in 606 BC. when it conquered Egypt.  Nebuchadnezzar took over the empire from his father and made it a world kingdom.  Second kingdom was Media-Persian Empire.  The Babylonian empire was conquered by the Medes and the Persians about 530 BC.  A few hundred years later, the Greeks became the third empire, when Alexander the Great conquered the Persians.   Rome became the greatest Empire around 68 BC.  Note this kingdom was not given a name of an animal, but was described as dreadful terrible and exeedingly strong (Dan 7:7).  This kingdom gained world power then disapeard. (note: this information was taken from Hal Lindsey's Planet Earth 2000AD.)

I believe this Empire will be revived just before the return of Jesus Christ as described in Revelation 17:8 ;behold the beast that was, and is not, and yet is.   I do agree that American will have to somehow be diminished for a Revived Roman Empire to happen, but thats not really hard to imagine the way things are going in America today.

Here's a few actual news links that point in this direction

Survey shows EU Citizens favour globalisation - http://europa.eu.int/rapid/start/cgi/guesten.ksh?p_action.gettxt=gt&doc=IP/03/1553|0|RAPID&lg=EN

This ones a bit old, but interesting non-the-less.
Chicago Tribune, 6 January 2002
EU in position to be world’s next superpower - http://www.worldpolicy.org/globalrights/europe/2002-0106-Chicago%20Tribune-European%20superpower.html

An Emerging EU Superpower & the U.S Cold-War Clash
http://www.scoop.co.nz/mason/stories/HL0306/S00144.htm

Just a few, but enough to make the point.  I expect the EU will soon drop its extra members down to 10 as predicted by Daniel and force America under her control through economics.   Either that, or America will either fall, or be destroyed.

[My spirit shall not always strive with man, for that he also is flesh: yet his days shall be an hundred and twenty years.]

6:1 And it came to pass, when men began to multiply on the face of the earth, and daughters were born unto them, 6:2 That the sons of God saw the daughters of men that they [were] fair; and they took them wives of all which they chose.

What does this say to you?Key points sons of God,and daughters of men.

I agree with Ralph.els

Contrary to the popular belief that "sons of God" refers to angels (and fallen angels at that) is erroneous, since there is no biblical evidence fallen angels, ever take on the form of flesh,  certainly the scriptures are silent in this regard, furthermore it is clear that angels are spirits, and God never created them to possess a physical body.

That they indwell physical bodies is evident, as Jesus cast evil demon spirits, from afflicted men in the testimony of the Gospels.

Sons of God, refers to sons in the lineage of Adam.

Daughters of men, refers to exactly that,ers of daught men; it does not imply they were ungodly dauthers, since at Gensis
24:12-14, we find the same words, as that in Gen 6:2 & 4, and we read that Rebekah the future wife of Isaac comes to water, where the other daughters of men come to do the same.

But above all else verwse 3, settles the matter, since God says;

3  And the LORD said, My spirit shall not always strive with man, for that he also is flesh: yet his days shall be an hundred and twenty years.

Clearly He is speaking of men, and not angels, fallen or otherwise.


God Bless,

Petro

The verses that are sometimes refered to about the sons of God being Fallen angles are,  2 Peter 2:4 For if God spared not the angels that sinned, but cast them down to hell, and delivered them into chains of darkness, to be reserved unto judgment;
(KJV)
And
Jude 1:6 And the angels which kept not their first estate, but left their own habitation, he hath reserved in everlasting chains under darkness unto the judgment of the great day.
(KJV)

Not that I dissagree with what has been said thus far, but there is some question in my mind about this topic also.  

Firstly, why would Godly men marrying unbelieving women create Giants in the land?  This does not seem to be happening in todays age.  

Secondly, these angels were "cast down to hell, and delivered them into chains of darkness, to be reserved unto judgment;"   These do not appear to be the same demons/fallen angels that are in rule with Lucifer on earth.  They are in chains of darkness reserved unto judgment.  Not possesing people or ruling as principalities of the air and so on.  So, if they are different fallen angels, what was their sin?

As for having bodies like men, the 2 angels that visited Lot, were seen by the men of the wicked city who wanted to "know them" in the biblical sense. (not intended to be funny).  Earthly men were obviously able to lust after their bodies.

So again, I have to ask, if these Sons of God were not angels, who are the angels spoken of in Peter and Jude, and what was their sin?