Seems to me like there are currently two factions competing for who will run the world government they all agree needs to be installed.

On one side there seems to be the Vatican Jesuits along with Grand Orient Freemasonry. This faction is communist, wants all humans to intermarry so that only one race remains. It is rabbidly atheist and often uses the angry masses to destroy whoever is in their way, like for example the revolution that brought about the USSR.
I would argue that most of the EU as well as latin america is under the control of this faction.

On the other side you have the Grand Mother Lodge of Freemasonry, which is royalist, racialist and would like the world to be rid of what they call the useless eaters (i.e. blacks, hispanics, and semites).
This faction created Zionism, marrying it with their own doctrine of British Israelism. They were also the ones behind the Nazi movement.

Looking at it this way, it seems to me that the current bitterness between the Vatican and Trump stems from the fact that Trump belongs to the Grand Mother Lodge side of Freemasonry (at the very least philosophicly), demonstrated in his make Israel great again policy and his close friendship with ''Bibi'', while the current Pope (first Jesuit to become a Pope) is clearly more in line with the communist Grand Orient of Freemasonry.

I like neither of the factions, as neither stands for freedom and individualism.

I could be totally talking out of my ass but this is my theory based on the research that I have performed so far.

For more on the two factions, a solid book is :
Scarlett and The Beast, by Jon Daniels (available as PDF for free with a Google search), though this book minimizes the influence of Zionism and the Vatican and magnifies the influence of the lodges in my humble opinion.