The truth is it absolutely wasn't. It's true that various forms of Christianity (with more virulent anti-Semitism than any “Judeo” component) were broadly popular with the general population at the time of founding, the intellectual elite who were the thought leaders shaping our model of government were largely members of the Enlightenment faction that started the whole idea of anti-religious secular liberalism.
The nuclear family also played little role in America’s foundation, only becoming dominant in the US sometime early in the latter half of the 20th Century, quite late in US history.
Though both the nuclear family and “Judeo-Christian” values being essential to the foundation of the American nation is one of the (fact-free) defining myths of American social conservatism of the late-20th Century to the modern day.
> the intellectual elite who were the thought leaders shaping our model of government were largely members of the Enlightenment faction that started the whole idea of anti-religious secular liberalism.
Really going to need a citation on this. Besides that point, the Enlightenment being anti-religious is a myth in of itself as well. Most standard taught US history on the events that took place basically from the split of the One Catholic Church, through the dark ages, and up to just before the founding of this country is woefully inaccurate. We are pretty good at documenting things that occurred on this continent roughly mid 1700s on.
I don't think anyone who places the East-West Schism before the Early Middle Ages (on top of the still using the term “Dark Ages”) really has any leg to stand on in accusing any other portrayal of history as “woefully inaccurate”.