Atheism, Baha’i and Judaism all leave you in the same place...without explanation for universal, invariant, abstract entities (which are necessary for reason) and without explanation for unity and diversity in existence. Only the triune God of Christianity provides the conditions for the existence of both in creastion. Yet, reason alone won’t get you to belief in Christianity. However, reason alone should be enough to get you to disregard the others.
Since God is the necessary precondition for all logic, reasoning and morality, that incoherence is certainly inherent in the first two, but I can't see why Judaism would be included. The Transcendent God of the Hebrew Scriptures is the same Transcendent God of the N.T.
I recently listened to the Greg Bahnsen vs. Gordon Stein debate in which Bahnsen gave the clearest, most forceful and most brilliant presentation of the argument that I have ever seen or heard.
Cordially,