I'm sure that there are Christians who have genuinely subjected their beliefs to proper scrutiny and made some kind of sense of it all that doesn't just rely on tautological arguments.
I'll try to put in my two pence. I grew up RC, left the church in my 20's, fed up with the medieval misogyny, and am now in a very progressive, liberal protestant denomination (The Episcopal Church).
For us, the OT is just historical preamble to the NT and provides context for the Jewish culture Jesus was born into. It's a fool's errand to try to read the Bible literally because it was originally written in Hebrew and Greek and there have been different versions of the NT books discovered that were written at different times. Usually, the earlier ones are considered more authentic. Some have plainly been messed with, like the bit about women should not be heard in church. That was in one version of that book, but not others.
There are also different levels of truth in the Bible. There are moral truths, like "Thou shalt not kill". There are symbolic truths, as when Jesus said "I am the vine". And there are truths that reflected the culture and time during which they were written but no longer apply, like the OT prohibition on eating shellfish. We have refrigeration now, so it's safe to eat shellfish. Ditto all of the OT rubbish about slavery.
So what's left? For me, it's the remarkable moral clarity of Jesus, who was inclusive of women in a way that was totally at odds with his culture, who extended his ministry to everyone, and who exhorted us to love one another as he loved us. He also said, "As you do to the least of my brothers and sisters, so you do to me."
He preached charity, love, compassion, and forgiveness. And his teaching gained followers to the extent that the Romans killed him. But they could not kill his ideas. And those ideas are still worth studying and help me to live a better life as a better person.