Just because you don't like a term doesn't mean the term isn't describing something real. And, just because a term was invented to describe something in the past, doesn't mean the term isn't describing something real. And, finally, every term both includes and excludes, else it has no meaning!
Your linked encyclopedia article looks very biased and misinformed. For one, Wikipedia states the term has been used since the 1800s. I also personally don't think "Judeo-Christian" excludes Muslims, who, to my knowledge, inherit this tradition by believing in parts of both the Old and New Testaments: From https://www.wikiislam.net/wiki/Portal:_Islam_and_the_Judeo-C...
"The Qur'an makes constant reference to the stories of the Judeao-Christian tradition. The references are familiar and sometimes in passing, and assume a great deal of familiarity on the part of the listeners. The audienceof the Qur'an was clearly one well-acquainted with the stories themselves and the Qur'an itself says that it is a "reminder" (73:19) of the message which has come before. The stories referenced are not only from the Bible, but come from a wide variety of literary traditions within ancient near east Christianity and Judaism such as the Alexander Romances, saints lives, and the Talmud."
Historians disagree about everything, and everything is up for conjecture because the man isn't alive today, and we can't read his mind. That said, here is some more evidence:
From: https://www.independent.com/2011/04/29/hitler-hated-christia...
Martin Bormann, one of Hitler’s closest and most influential aides, declared that National Socialism and Christianity are irreconcilable, and Hitler himself said that Christianity was a religion of fools and “old women.”
Hitler declared that “The heaviest blow that ever struck humanity was the coming of Christianity…. The deliberate lie in the matter of religion was introduced into the world by Christianity.”
And from: https://thenewamerican.com/hitler-and-christianity/
According to Baldur von Schirach, the Nazi leader of the German youth corps that would later be known as the Hitler Youth, “the destruction of Christianity was explicitly recognized as a purpose of the National Socialist movement” from the beginning, though “considerations of expedience made it impossible” for the movement to adopt this radical stance officially until it had consolidated power.
Really, this is just common sense. Hitler was many things, but a clumsy politician was not one of them. He knew that until he had “consolidated power,” he would have to erect a façade for a Christian people and the Church; this is probably why virtually all his pro-Christian statements were rendered publicly and before he had closed his iron fist around the German neck.