"Nobody here has been hostile to you. They've been like me - unemotional." Gunna call that one out. Frequent condescending comments, insults to my knowledge and integrity have been a norm on here.
I'd have to see the specific words that you are calling hostility. I've not seen everything written to you, but I haven't seen anything I would call hostile in what I have read. The reason I ask is because my experience with theists in these discussions is that they're quick to emotional responses and tend to think in terms of their persecution. I don't say that this is you, but I also don't know what you are calling hostile, and can't say that I would agree with your illustrative examples until I see them.
I used to refer to the three stages of apologist decompensation. First, the apologist is friendly and has a message to share. Critical thinkers will identify errors of fact and logical fallacies. The apologist begins by fielding these, but eventually goes into the "that's just your opinion" and "you didn't see it happen" and "you can't prove that God doesn't exist" kind of defensive mode. His demeanor and words change. These comments are subjected to the same critical analysis, and the apologist becomes emotional. He's frustrated and somewhere between angry and offended.
Why does this happen with the apologists, but not those posting to him? I think it's because the theist believes the atheist is immoral and doing things he shouldn't be doing. He's militant. He hates God. Decent people don't behave like this. He knows, because decent people are in church, and this never happens there. He's not used to seeing what he perceives as impudence. He's not used to seeing what he considers holy disrespected, which is how he perceives dissent in this arena, and eventually, the frustration and emotional content appears. He takes it personally, and he dislikes and disapproves of the skeptic. The reverse doesn't happen. If the critical thinker injects a little editorializing, it will be to condemn certain posting etiquette, like repeating points already rebutted and not counter-rebutted, or the folly of criticizing science the believer doesn't understand, or citing Christian scripture as authoritative to a non-Christian. But this never becomes more emotional or angry than that, and certainly doesn't rise to the level of hostility. Dismissive perhaps, but it's not angry, and in my estimation, not hostile, although you might disagree.
"Truth does not demand belief." Actually it does. All action requires some level of belief. if I did not believe that drink water would help my thrust I would not take that action.
Belief is one of those words with different meanings that lead to equivocation errors. I use the word belief to mean anything one considers true whether because of good evidence or faith, but some people use the word only to mean the latter, as when they say, "I don't believe. I know." What Barker is saying is that truth doesn't require faith to be believed, where for him, like me, true means demonstrably correct.
I just read these words: "and, as you say, beliefs are an acceptance of something without proof." That's a different definition for truth than mine, and the two should not be conflated as equivalent.
many on the non believing side will not accept the reality that they need to believe in order to try to learn science and also religion.
This illustrates the equivocation problem - equating empiric belief with faith-based belief. We learn science empirically, and for the experienced critical thinker, there is no choice in what to believe. Something is believable because is evidently correct according to his epistemology, and nothing else is, including insufficiently evidenced religious claims. For the faith-based thinker, there is a choice what to believe, because his beliefs aren't tethered to evidence. They don't need empiric support to be believable to him. Pick a god and believe it exists. Pick whatever doctrine you like and believe it but no other.