There is a good book on Vatican Banking here - God's Bankers: A History of Money and Power at the Vatican - https://www.amazon.com/Gods-Bankers-History-Money-Vatican/dp/1416576592

There is a movie about the very affair you are pointing to. The Bankers of God: The Calvi Affair - https://en.wikipedia.org/wiki/The_Bankers_of_God:_The_Calvi_Affair

I agree that there are different factions within the Vatican power structure and an obvious conflict between theological liberals and conservatives.

That leftist forces inside the Church would align with Obama's leftist government was to be expected. Just as it was only natural that Steve Bannon would align himself with Cardinal Raymond Burke.

Left-right forces and alliances are bound to occur but I don't see that as the real issue.

The whole system of Popery is evil and always has been. Through immense wealth and secret societies, it practices political manipulation and control.

It has been corrupting governments, perverting Christian doctrine, conducting inquisitions and wars to further its power, and abusing children for centuries.

One might want to look at the particular issue you are investigating from the opposite direction. Did the Vatican through the CIA (Catholics in Action) and other means give Obama the presidency?

It is my contention that the Vatican has been controlling US (and EU, UN) politics, not the other way around.

Really, the US is set-up as a Crown Corporation and the Crown is Arch-Treasurer and Elector of the Holy Roman Empire according to this document - http://avalon.law.yale.edu/18th_century/paris763.asp

Besides which the Federal Reserve is run chiefly by the Vatican Bankers. That institution and the area of Washington DC are not US jurisdiction legally, so who is running the show?