Well if there are aspects in the Bible where there is a command or law to endorse or follow and it goes against our moral code and conduct that creates an uncomfortable reaction. For example there are several laws in the OT I have no intention of carrying out lol, but I don't look for perfection in the Bible either I look for content that is usable and applicable so it doesn't really affect me personally. Just because there is some unusable content in the Bible doesn't mean it's all unusable either.
I understand that the Bible is a giant mixture of culture, opinions, tradition, archaic ways of thinking and living and of course a lot of spiritual content. The Bible was written in an age where culture and spirituality were woven together and you have that mix in the Bible, and the OT in specific was written with the intention of it dictating their way of life and culture. So you have laws and codes of conduct intended for their specific tribes and clergymen. That was a long, long time ago when the way of life as we know it was drastically different.
They didn't have a Government and police force overseeing everything so their culture and laws were much more harsh and they wanted to keep purity and stabilization within their societies and desired to enforce what they considered moral and proper through harsh consequences. I think back then there was a lot of fear that their societies would be infected or disrupted so they kept the laws tight and the consequences brutal as to not have any rebellion or disruption and for good reason.
As you can see from history there were some flipped out cultures and peoples, there was much more barbarity, wars and rebellion back then and that is reflected in scripture. This is why you see the God of war, God of justice, the God of law, the God of retribution, God of vengeance ect ect......all this was a reflection of their ways of life, it was brutal and life was much more fragile, vulnerable and unpredictable. There was no separation of Church and state it was all mixed together and so what the writers experienced in life is what you see in their content. It was a time of extreme war where they could have been annihilated at any moment and so God was expressed as a God of protection and war. The time period was intense and so God was intense.
We're not OT Jews and we aren't forced to live their way of life so their cultural content is not applicable for us in that way. So when reading the Bible one should be aware of that, and that not everything within in it is relevant to us now. It's okay to gain from the Bible what is usable and discard what is unusable, otherwise one could get arrested lol. But seriously, there is valuable content in the Bible but people insists on emphasizing the content that is unusable. Part of that problem is because of religious people and organizations, that every part of the Bible must be perfect and must be believed when that is not so.
No one is required to believe in things they don't agree with, or to accept the whole Bible to have relations with God.
This is sort of a different angle than what you are suggesting, I'm suggesting that just because it's in the Bible doesn't mean it is right or that it's suited for every soul. I think that is unnecessary to begin with. Having said that when I was younger I found no faults with the Bible, but I wasn't really looking to discredit it either so I focused primarily on what I could actually use from it. Having got older and thinking much deeper I realized that not everything within the Bible needs to be accepted, and that if I don't agree with something it doesn't effect my relations with God either. In other words the Bible doesn't dictate my connection with God, but at the same time the Bible has useful information.
I think that if unbelievers could approach the Bible having some individuality and their conscience intact, having some flexibility and not the threat of hell hanging over their heads we'd have better discussions. At least not so hostile.
And I'm not a new age believer either lol, I'm an old school guy but spirituality is much more flexible than people know. It's the fundamentalist approach that causes so much conflict. God exists independent of the Bible, and while the Bible has useful information it's not a perfect book, it was compiled by imperfect men and cultures. It's okay that there are imperfections in the Bible, God still exists.