Indeed. However, for a faithless person, those circumstances must exist in objective reality.
No, they do not. Anyone can justify any belief regardless of faith. I will admit faith is an easy target to justify horrible things, but its not at all the only way to justify things like that.
That's just how people work. Instead of admitting their beliefs are wrong, they will do mental gymnastics to justify them. It is very possible to have incorrect reasoning without being religious.
The underlying problem is absolutely bad mental health. Not necessarily a mental illness, but bad mental health in general. Everyone has justified a belief with bad logic because its too difficult to admit you are wrong. I've done it and still occasionally catch myself doing it. I believe you're doing it right now, although I'll admit I don't know you well enough to know for sure. I'm guessing you had some negative experience with religion and now justify your distaste for it by claiming religious people are more prone to doing horrible things.
I'm not sure what groups you are referring to. Do these groups "conflate personal belief with objective reality"?
Yes, the only difference is that their bad reasoning is not religious in nature. That's why your problem should be people that do that, not religious people. They are not related.
Where did I claim to "hate" anything at all? I believe the strongest criticism I made was "distrust".
Here I was using hate to refer to the examples you gave like anti vaccine and anti mask people. I'm assuming you do hate that, as you should.