No. You're overcomplicating what I'm saying. One has to take it on faith that God exists for the Bible to make sense. If one doesn't believe that God exists, then naturally one is going to find eighty percent of the book to be absolute tosh.
I find this almost to be putting the cart before the horse. Should one not be able to approach the bible with an open mind, read it, and become convinced of the existence of a god rather than already thinking there is one, then reading the book in order to affirm ones preclusions?
It does work for reaffirming (to my eternal surprise, considering most of the content) but I don't think it's supposed to be a logical proof. Even science papers are based on experiment (except for math and philosophy) so it's reasonable for the Bible to be the same: Describing a theory and reproducible experiments which support it.
Which the Bible does do. If you have an open about the existence of God, you can test it:
Proverbs 2:3-5
If thou criest after knowledge, and liftest up thy voice for understanding; If thou seekest her as silver, and searchest for her as for hid treasures; Then shalt thou understand the fear of the LORD, and find the knowledge of God.
Proverbs 8:17
Those that seek me early shall find me.
Matthew 7:8, Luke 11:9-10
Ask, and it shall be given you; seek, and ye shall find; knock, and it shall be opened unto you: for every one that asketh receiveth; and he that seeketh findeth; and to him that knocketh it shall be opened.
So the Bible isn't a proof or something we need to believe in blindly or fully. We just need to consider the doctrine, then we'll know it's true. Or, not.
Although there are many cases where the Lord hides his existence from specific people for his inscrutable reasons...
18:40 Thou hast also given me the necks of mine enemies; that I might destroy them that hate me.
18:41 They cried, but there was none to save them: even unto the LORD, but he answered them not.
18:42 Then did I beat them small as the dust before the wind: I did cast them out as the dirt in the streets.
But if God hasn't determined that we'll never find him, then we totally can find him through open-mindedness.
If you start reading the Bible with the mentality that there is a God, you're going to be convinced he exists despite the contradictions/improbability. If you start reading the Bible with an open mind, you'll see the flaws and assume it's all flawed, or so I think.
Edit: Or, you only read part of it, e.g. the messages of love, and decide something that good should be believed.
Don't be too cynical! Some Christians do read the Bible and realize how hateful and arbitrary it is, and discard the belief they were trained to have as kids.