First let me say that I would agree that a document that contains errors can still be the truth. For example, I'm certain all science text books have typos and other errors in them.
However, science text books can be tested. The bible can not. I looked to the bible to be perfect because its perfection would count as evidence of its veritability. It isn't perfect. That doesn't mean it is wrong as you say but it does mean it is more likely to be wrong than if it were perfect (even perfection in consistency and wording wouldn't mean it was correct either), and you have to look elsewhere to verify that it is in fact evidence of god. The problem is that there is no other evidence.
So, then, it is no more illogical to believe in the god I suggested, which I made up, than it is to believe in the god you suggested, which you made up. If it would make you feel better I could write a imperfect, metaphorical book about a god that sends people to heaven for just being born then my god would be on equal footing with your god?
Basically, what I'm saying is, what convinced you to believe in the bible as truth while rejecting all the other religious writings out there.