Are the Illuminati/Freemasons enemies with the Vatican?

[Scepcop]

Jordan Maxwell said in his video "Matrix of Power" that one of the reasons why JFK was killed was because he and his brothers were Roman Catholics, which threatened the Freemasons that ruled America with a Kennedy Roman Catholic Dynasty that would reign for 24 years. He says that the Vatican and the Masons are old enemies.

See here:



However, when you listen to David Icke, he seems to say that the Illuminati control the Freemasons and the Vatican.

Is there a contradiction here? Are all secret societies working together or are they at war with each other too?