I would invite you to re-evaluate your position on books like Leviticus not being "theological". For example, Leviticus 16, the Day of Atonement, shows you on so many levels what Christ accomplished. The reasons many of the rules and laws are put into place is to show how reality is structured ontologically. And to show you that mixing categories can be harmful, and that fringes are necessary to keep the rest of the cloth whole. I could go on and on about this.
A good place to start is Language of Creation by Mattieu Pageau and Unseen Realm by Michael Heiser. Nothing in the Bible is there by accident. It all has meaning and connects with the rest of what's there. And the "contradictions" are there on purpose, to draw you in. Think of them like Zen koans that are inviting you into contemplation of what is meant, rather than "oh those ancient people must have missed this one".
I'm not saying the 'legal' books shouldn't be part of the bible because they have 'no theological value'.
I'm saying that when a hollywood actor in a film makes fun of christians and says something like "oh go sacrifice a goat like it says in your bible", they are willfully misrepresenting those verses as "cherry-picking your beliefs and conveniently leaving out the goat stuff", when in fact typically they're quoting verses of legal/historical significance, rather than of a dogmatic/theological nature.
A good place to start is Language of Creation by Mattieu Pageau and Unseen Realm by Michael Heiser. Nothing in the Bible is there by accident. It all has meaning and connects with the rest of what's there. And the "contradictions" are there on purpose, to draw you in. Think of them like Zen koans that are inviting you into contemplation of what is meant, rather than "oh those ancient people must have missed this one".