These sort of questions used to be a big issue for me. I grew up in a Baptist, modernist church, where the question of literal interpretation, and of precise inerrancy, was viewed as very important. I was one of those guys who took the "it's all absolutely true" viewpoint.
In the church I grew up in, I was taught that the various "dramatic" spiritual gifts were now idle; that things like prophecy, miracles, and tongues were gifts that were given for a specific time and place but which were no longer active. The explanation given was that these were gifts which were meant to announce the power of God to a culture; in a culture such as ours, where Christianity is already well-established (yeah, there's all sorts of caveats to that, which I won't discuss here), the theory was that the "sign gifts" were no longer active.
I don't remember how or why I started to disagree with that viewpoint, but I remember, somewhere in high school, starting to pray that I would be ready to believe and act if/when God wanted to act in a more direct fashion. It started to change how I prayed, and how I expected God to respond. When somebody was sick and asked for prayer, I started to be more bold about asking God to heal them. It was a strange balance; trying to expect God to act, and yet trying to be ready to accept if he didn't. I still don't know how to handle that.
I started asking for God to speak to me more directly and more clearly. As part of that, I started to listen more carefully, and to give action to the small leadings that seemed to be Him. Very often, I can't tell for sure if God is talking, or if it is just the random wanderings of my mind...but sometimes, odd, powerful things happen when I follow something which *might* be God.
Over the course of years, God has occasionally acted in some very direct ways. I actually healed a person, once (ask me sometime...it's a funny and ironic story!). I've seen demons and angels now and then, and even battled them in a very direct, (almost) physical fashion.
More to the point, I hear God speak, sometimes, inside my head. Typically, it is the quiet voice, which I can't be sure is actually Him and not me. Occasionally, it is quite clearly Him. Sometimes, he speaks to me, sometimes, he leads me how to speak to, or interact with, others.
When God leads me in how to interact with others, He does amazing things. Yet he does it through me; His action is affected by my choices, by my personality, and skills. It's an exhilarating thing, to walk away from a conversation simultaneously believing that God worked in mighty ways, and that I did something amazing for Him.
Yet it's also terrifying, because I wonder if somehow, I screwed it all up, got in the way, and lessened the impact of what God was about. In those moments, I remind myself that God's sovereignty is enough to take care of my mistakes (and sin!), to fix them, to cover them, or even to redeem them into something wonderful.
So when I read that "All Scripture is God-breathed" (2 Tim 3:16), I don't view it the way I did as I grew up. I no longer see this as a binary perfection/humanness distinction. I now see this as a dynamic, relational, interactive enterprise between God and man. God moves, man responds, and then God fixes things up to make sure it all comes out the way that it ought. God doesn't eliminate the influence of man; he crafts it into something greater than man.
Thus, I have no problem in simultaneously believing that Scripture is perfect an inerrant, and yet seeing the humanity of the writers. In fact, I exult in it. I can see the artistry of the stage direction in Job, the flawed mathematics of Kings, or even the ambiguous double depiction of creation; I marvel in the fact that God breathed these words, and breathed them through the mouths of flawed humans, and that God felt so secure in his own action that he allowed us to literally affect the outcome.
And I feel peace that the end result needs not to be mathematically perfect in every detail; it is sufficient for every purpose for which God designed it. For this reason, it is authoritative in my life, and binding.