I think when perhaps in isolation, some of the individual books may be coherent, but as a whole, there is no logical consistency, but instead there are a myriad of contradictions, such as those between the synoptic gospels and John. For example, on what day was Jesus crucified? John does not agree with the synoptic gospels regarding this. Or in the Old Testament, in Exodus, we have two entirely different sets of Ten Commandments, the first we find familiar, but were destroyed, and the second set that few would recognize that Exodus specifically refers to as the Ten Commandments, including a prohibition on boiling a young goat in it's mother's milk. Is God El, or Yahweh? Is God a perfect being, or subject to all too human emotions like jealousy?
I am nearly certain the Bible was never intended to be coherent. It's authors span nearly a millennia, and it is doubtful they expected or intended their writings to be translated and compiled together by St. Jerome or the First Council of Nicaea. Joseph Campbell, a Jungian, stated "a mythic dream is a personal experience of that deep dark ground which is the support of our conscious lives, and the myth is the society's dream," that a dream is a private mythology, and mythology is the public dream, and as easy it is to understand what he means, not even that is coherent.