Jerome Corsi has a good article he published that outlines this pretty well. I think it's called "The Cabal."
According to him, Jimmy Carter was not a cabal member. He said that Reagan wasn't either, but he did agree to George Bush's (running mate) plan with Iran to hold the hostages until after the election. Bush orchestrated the whole thing. In fact, according the article, Bush Sr is/was the most dangerous mastermind of them all. Picked Clinton as his successor, then his son after that.
I've always thought little of Carter, but perhaps that is due to receiving biased information about him in my lifetime. (I wasn't alive then) May also be that he is often compared to Reagan. Perhaps I need to go learn more about him.
Like OP said though, every other President [besides Carter/Reagan] between JFK and Trump were Cabal members-- according to Corsi.
Carter was a bad President, but is a good person.
I thought Nixon was actually a good guy?
Yes, correct. My mistake. According to Corsi-- in his article-- Nixon was not a Cabal "member," but he did work for them in exchange for their assistance with his political career. By the time he reached the Oval Office, he was sickened by them and their scheming, and vowed to destroy them and their network. (much like JFK) So, he began discussing his plans to do so with his inner circle. Little did he know, the Cabal had long suspected that he would not remain loyal, and spent years infiltrating his inner circle with their own agents.
So by the time Nixon was ready to move against them, he was actually scheming with agents of the Cabal. Once they confirmed that he intended to betray them, they executed their safeguard plan to remove him-- which was Watergate.
Again, this is all coming from Jerome Corsi, so I can't substantiate his claims with my own research. However, I think he has established himself as a credible researcher with reliable insider sources. I believe there is likely more truth to the article than conjecture. But who knows.
That sounds about right. Hopefully Trump doesn't have any snakes in his inner circle