Except the claims made in Part III of the film are untrue.
Really? All of them?
...
Also, you are going to have to clarify what you mean by "banking families both influencing and at times dictating American policy" in your statement. It would be nice if you could back it up with fact. The use of the term "banking families" alone is dubious in its vagaries as well as its implications, indicative of schools of thought that are based on nothing sound.
When I say banking families I primarily refer to Rockefeller, Morgan, and Rothschild.
I plan on writing a paper on the basic evidence for what I have suggested. It will not be finished for a significant amount time, as I am in the beginnings of the learning process (and proud of it

)
When I am finished would you like me to PM you a link to it?
If you are curious yourself I can recommend the following:
Carrol Quigley - "Tragedy and Hope: A History of the World in Our Time"
Nearly from the horses mouth, and biased - Quigley tells the reader that he has no objection to their actions or intentions aside from the fact that they wish to keep them secret in the first place. Hence the book I suppose?
From Amazon reviews:
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The archetype of "Tragedy and Hope" is the work of Procopius, a courtier in the time of the Byzantine emperor Justinian, whose official history, the " De Aedificiis," celebrated the accomplishments of his monarch - but who supplemented it with a secret history, the "Anecdota," in which he spilled the dirt on the emperor and his wife Theodora. Much of the interest in Quigley's book centers around his dirt-spilling account of the machinations of international bankers and of the organizations they formed to exert influence behind-the-scenes on political and diplomatic activity, such as the Round Table, the Royal Institute of International Affairs and the Council on Foreign Relations. While his discussion of these matters occupies a fairly small number of the book's 1300-odd pages, it has drawn the attention of so-called "conspiracy theorists," mostly on the political right (e.g. the John Birch Society) but also some on the left, such as the sociologist G. William Domhoff, who pursue much the same theme - that the domestic and international policy of the United States (and other countries) are manipulated by a "power élite" in a way that makes their supposed democracy largely a sham.
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The late Dr. Carroll Quigley was a professor of history at the Foreign Service School of Georgetown University. He was, as his book reflects, brilliant, egotistical and opinionated. He also was a confirmed socialist who believed the world could be a better place if the educated elite ruled.
Former President Clinton said in 1992: "...As a student at Georgetown, I heard that call clarified by a professor named Carroll Quigley, who said to us that America was the greatest country in the history of the world because our people have always believed in two things: that tomorrow can be better than today and that every one of us has a personal, moral responsibility to make it so."
Unfortunately, Dr. Quigley revealed the game plan of the elite when the elite (a shy group by nature and not at all given to republican government) didn't want it publicized. Far from wanting to hide this "network" (as he called it), Quigley was proud of it.
"I know of the operations of this network because I have studied it for twenty years and was permitted for two years, in the early 1960's, to examine its papers and secret records. I have no aversion to it or to most of its aims and have, for much of my life, been close to it and to many of its instruments. I have objected, both in the past and recently, to a few of its policies...but in general my chief difference of opinion is that it wishes to remain unknown, and I believe its role in history is significant enough to be known."
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Interesting!
As well as:
Murray Rothbard - "A History of Money and Banking in the United States"
And also the brief "Wall Street Banks and American Foreign Policy" by the same author.
For a very recent work dealing with the topic I recommend Peter Dale Scott's "The Road to 9/11". (Note: Scott does not claim LIHOP or MIHOP. Give it a chance.)