I think the Four Horsemen went farther than that. Much farther.
Titling your book "The God Delusion" is not an argument in favour of reason in the examination of religion, it was an assault on the idea of god and an insult to people of faith. Of course Dawkins (not Hawkins) was profoundly dishonest in his argument, including his intentional selective quoting of the founding fathers, was called out for it and pretty much abandoned by serious intellectuals after his comments about pedophillia not being so bad. Of the horsemen I would suggest the only one who really brought honest analysis to the subject was Dennett. The other three were profoundly dishonest in their approaches, particularly Dawkins.
BTW, as a amateur enthusiast of evolutionary biology I loved much of Dawkins work on evolution but once he published God Delusion he seemed to completely go off the rails.
Belief in Christianity and Judaism, I would also argue has an archeological and historical basis. Many of the events, people and chronologies in the Bible can be researched historically or archeologically. There is a study of Jesus, for instance, as a historic individual, as opposed to a religious figure. One can examine the evidence as to whether or not he existed. He can be better understood in his historical context which comes from a multiplicity of sources outside of the bible.
Historical evidence can also confirm or work against religious faith. For instance for many years there was no historical or archeological evidence for Pontius Pilot and many people who disbelieved Christianity argued this was proof that this part of the bible was inaccurate. Then a stone tablet from the period was found in 1961 confirming Pilot as prefect of Judea. This, both for people of faith with a rational bent and for people who had denied Pilot's very existence was an important piece of evidence.
Biblical Archeology Review, I believe remains in publication.
So the Abrahamic religions do have an important historical and archeological aspect that impacts how they understand the world and their own faith.
While it is true that the questions of the existence of God and the divinity of Jesus, etc so far remain beyond evidentiary tests, many aspects of the Judeo-Christian worldview are shaped by rational review of text and evidence. And that is without even getting into how the bible can be analysed for authorship, etc.