Now that statement puzzles me. I do not see Jesuit influence in DC. Other groups, but not that.
I am not Presbyterian. But I worked for a fine man who was, for a good part of my life. I am Baptist, many of his employees were. He came to understand he could totally trust my brethren and we totally trusted him. He traveled in a more aristocratic circle than we did, but we loved him for his character and grace.
Now on your statements about Witherspoon. His views were very compatible for the Scottish Enlightenment views of the time.
As a very young man, I read Locke, Hume, Burke, Descartes, Rousseau, Montague, Machiavelli, Paschal. Must admit my understanding of their thoughts at that age was not complete.