I feel I have now studied the Bible sufficiently,
When I read this, something jumps right out at me. I know a number of us Jesus people keep getting new enlightenment about any scripture we read. And we can be awestruck at how God can keep giving us more with the same scripture. And, for me, it has to do with how to love, often enough, how to see in the light of love. And various ministers can prepare sermons, then get even more inspired > it just does not stop; because God is and has so much more than we do. And ones can be right in the middle of their preaching and get inspiration they never had before. And they know it's God.
and find many inconsistencies, which do not appear to align with known and tested reality?
This can mean you really have found what is not sensible; or it can be a matter of how well you are able to understand something. And the Bible does say >
"Test all things; hold fast what is good." (1 Thessalonians 5:21)
And possibly, you know of how high-level scientists first dealt with the report of the discovery of a platypus. They were adamant it was a hoax. Even when a dead one was put right before their eyes, they insisted it was parts of other animals sewn together. So, even in the secular realm, scholars are capable of denying what is right in front of them.
But Christians are human, too. So we have such an adventure, then, of sorting who is really getting it and who is self-producing and wishful, and when any given person can be one way, at times, but then the other. So, even in sharing with honorable people, we need to make sure with God.
"And this I pray, that your love may abound still more and more in knowledge and all discernment." (Philippians 1:9)
So, in God's love is the light.
So either these believers know something I still don't, or, maybe they are invoking wishful thinking, some form of faith due to wishful thinking,
I would say we are capable of being wishful. One common reason can be we do not want to deal with getting real correction. Also, when ones we have dearly loved have lived in a horrible way, we can wish the person into Heaven . . . rather than deal with all the Bible means we need for real correction and preparation to spend eternity with Jesus. I personally do not preach anyone or myself into Heaven; but I trust God to make sure we gain all the real correction and maturity which the Bible guarantees comes in His grace.
So, I would say you are right that it is wrong to be wishful. And God is able to prove Himself to you, personally.
implying fallacious reasoning, are products of indoctrination, or maybe some other reason(s), in which I have yet to deduce.?.?.?
You do not have to put yourself at the mercy of anyone's say-so. God is able to personally prove Himself to you . . . but with the help of ones He trusts to help you. It appears to me that some number of Bible claiming people are holding to certain wrong ideas because they want to feel superior, and/or maybe they have had idols who told them things and they do not want to admit that their idols are wrong.
But any of us can have love idols, can't we?