Being cynical isn't exactly a scientific frame of mind; it's an emotive one, if anything. So, make sure to differentiate your psychological tendencies (which we can all have, obviously) from those states of mind that are more appropriate to being rationally skeptical. Cynicism does not equal a healthy Skepticism.
As for the various genres of religious thought and literature we find in the Bible, we might do well to remind ourselves as we casually leaf through its dusty pages that it is indeed an ancient, foreign book, removed from us in place, time, and mindset....and it should feel this way to us despite the fact that we may be reading an English approximation of those texts. We should likewise feel the same way as we peruse any old religious writings from other religions. As we do this, any recognition of "cosmic value" in the Bible won't come by way of attempting to find some 'romanticism' in the essence of the writings; no, any resonance of revelation will come not because the texts are 'true,' but but because God is real. Besides, if you're an Existential, Critical Realist when studying the Bible, you'll get to be just that: Critical. And this means that for you to understand the Bible, you'll have to study MORE THAN just the Bible.
Concrete 'truth-claims'? How? Where? What kind? Why? By Whom? ...To what extent?
In starting with the Bible existentially, you don't have to grant it ANYTHING, other than what you see before you on initial impact. The integrity of dealing with the Bible, however, will be seen in the ways that you actually try to answer the contextual questions I just listed above, something that I'm not sure many people, whether they be believing or non-believing, seem like they want to do. But they sure want to 'say' something about it all, nevertheless.
You're question is valid, but I'm afraid that it misses a key point: that a person could grow in their understanding about world religions and come to a point where they feel one religious avenue is surely worth more than the other avenues and is THEREBY more worthy of one's time in this short life. The way you make it sound, this all just comes about by emotional happenstance straight from the get go.
If this is the case, why are there portions of the Bible that I still don't understand or am able to make clear heads-or-tails of?
Sometimes, I think that it isn't so much that skeptics and atheists are really looking for some magical "it" in the Bible, but rather, they're looking for an effect, a supreme effect, that the magical "it" has been told them that "it" should offer up ... yeah, I don't think most of us will find that "effect," especially if that is all we're looking for.
Well, then, don't allow yourself to be biased. I don't.
Why would God have to do the same thing for every one in bringing them to belief and faith?
Sure, but you'll be saying this while soaked in cynicism and without having actually engaged Pascal in a fuller understanding of his overall, existentialistic position.
Then if you want to get beyond 'simple' reading and 'simple' acceptance, we'll have to consider what else this process might entail?
As I said, you don't have to shed being skeptical or being critical; the name of the game is to allow yourself to think more deeply on the issues, but at the same time you do need to bring to a heel your emotive inclinations toward cynicism. This last point isn't something, for instance, I think PineCreek and his friends actually do to the fullest of their abilities.