Well, Tempest, you ask an interesting question. The OP appears to suppose a strategy of an ongoing colonial style relationship between the US and Israel in which it is envisioned they might create together an idyllic Zionist-ran future world order. This concept appears to be the essence of much of the talk on this forum as well as in the wider "conspiratorial" world.
In order to answer your question from a Biblical point of view, I must right away stress that I am not omniscient and, though I might have a settled Biblical opinion on certain issues, I may equally be wrong in some details. I will try to answer your question to the best of my ability even if the reply is a bit long...
One of the hardest forms of communication is to talk about a topic people already think they have figured out. Common descriptions may hide differences that may be assumed to be shared understandings etc.
The Bible doesn't talk about America directly, not being one of the nations involved in the 1st Century Middle Eastern world. That having been said, scripture often alludes to places and people through types and shadows e.g. Jesus is referred to in the OT in various ways - "The Branch", "Shiloh", "My Servant", "Son of Man", "The Angel of the Lord" etc etc. These reveal something of his nature. In the same way, nations are spoken of under names that define them, e.g. Esau, Ephraim etc. The danger in gaining a little understanding of this is that you may leap for a certainty on something that is a possibility.
So, assuming that past prophecies can be shown to have
come to pass, you might reasonably expect that in the fullness of time, those prophecies identified to take place around the time of the end will come to pass in the same way. Understanding the language and symbolism in the decoding of the past ones provide good indications on how to read the unfulfilled ones.
Christians "read" prophecy and understand "The Kingdom", "Israel" and how to best understand prophecy differently. I can't hope to address these differences here other than to say that the perspective I take is that we live presently in an era (or "dispensation") called the "Church Age". This was not spoken of (except by allusion) in the OT. Rather it exists as a parenthesis in God's unfolding relationship with the World. Right now, anyone who believes the gospel and is born again can be "grafted in" to spiritual Israel and be saved. If you are familiar with algebra, the part of the sum that appears in the parenthesis e.g. (2x +1) is done first before the rest. Even from the perspective of the Gospels, the church is somewhat of a mystery, only finding its full explanation through Paul.
The time we are living in now will come to an end (in my view) with the
Rapture of the Church. From my reading of scripture I think this event will coincide with several things:-
1: Zechariah 9:14 indicates that the Lord blows a trumpet in the context of a conflict involving Israel.
2: Isaiah 17 and Ezekiel 38 may both take place in a short time window soon after.
3: A great deception arrives. This is a source of much speculation but an educated guess suggests an alternative, persuasive narrative will emerge that will aim to displace our present "religious" understanding of things.
As the US has recently announced a pull-out of Syria, what happens next with respect to this prophecy is anyone's guess, but the stage appears to be set.
To America then, there are those who believe America is absent from the latter stages of history because it is destroyed by war. An identification of the US as "Mystery Babylon" would indicate this. Others see the faltering of the US in the face of an invasion of Israel as an indication that the Rapture may have taken place, changing the composition of the leadership in such a way as the much disliked "evangelical Christian" voice will disappear from the nation, leaving those in power the ones that will stand by and do nothing when an attack takes place. Another possibility would be that the nation identified as "Gog" in Ezekiel 38, frequently associated with Russia gains sufficient military dominance that the US decides that stepping in to a war in the Middle East may be unwinnable. Here, something like the hypersonic weapons in Russia's possession may act as a tipping point.
Just me thinking out loud, but that's where I see things headed, and why I put much of our current world order in the parentheses mentioned earlier. I share all this because I wouldn't want my worst enemy to go through what follows. I suspect most people will dismiss or ignore what I have said, but I would be a wretched human being if I didn't at least try to explain the critical prophetic point world events are currently balanced at.