With due respect, you can't say "respect" and then "magical thinking" in the same sentence. More than that, "magical thinking" is basically content-free: you haven't actually described what behavior or ideas you're object to, so there's nothing really to say in response.
Your one concrete accusation is about people "exiting organizations that do not allow you to leave with your dignity intact". But that's 1) not specific to religious organizations 2) not a feature of all religious organizations. Try leaving the Chinese Communist Party, for instance, without leaving China. And while I'm sure that my Christian friends and family would be disappointed if I became an atheist, I don't think their disappointment and opposition would really be that much more than you'd get from your atheist friends and family if you decided to become a Christian.
I know that there certainly are religious organizations where that's not the case -- where they're much more willing to use guilt, or social ostracism, or even harassment to try to punish you for leaving; but that's just wrong. That's never how Jesus operated.
Put it this way. Are people harmed by the current medical system? Yes. Should we completely get rid of all doctors and hospitals and everything? No -- we should strive to root out the bad actors and correct the systems and culture which allow harm to take place.
Are people harmed by bad police departments? Yes. Should we completely get rid of all police departments? Some people say yes, but I disagree. We should strive to root out the bad actors and correct the systems and culture which allow the harm to take place.
Are people harmed by bad governmental policies? Yes. Should we completely get rid of the government? Again, some people say yes, but I disagree. I think we should strive to root out bad actors and correct the systems and culture which allow the harm to take place.
Jesus' bitterest enemies were the religious leaders of his day: and what really made him angry was the harm they caused to ordinary people. (Some quotes at the bottom.) Insofar as the "harm" you have in mind is genuine harm, it's probably something Jesus has already objected to.
Getting back to "ignorant and bigoted": I said that if the think that "I'm suffering so I must have done something bad" has a 1-1 link with religion, they are ignorant and bigoted.
They're ignorant because they're wrong in both directions: Many atheists do think that way, and many religious people do not think that way.
It's not bigoted be ignorant: if you don't know that many religions teach that God allows good people to suffer to accomplish higher goals, then you don't know. But if you judge people without actually taking the time to find out what they actually believe, then you are bigoted.
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Here are some things Jesus said about some of the religious people of his day. No Christian should read these without taking a good look at their own life to make sure they aren't implicated as well:
"Woe to you, [religious people], you hypocrites! You shut the door of the kingdom of heaven in people’s faces. You yourselves do not enter, nor will you let those enter who are trying to.
"Woe to you, [religious people], you hypocrites! You travel over land and sea to win a single convert, and when you have succeeded, you make them twice as much a child of hell as you are.
"...Woe to you, [religious people], you hypocrites! You give a tenth of your spices—mint, dill and cumin. But you have neglected the more important matters of the law—justice, mercy and faithfulness. You should have practiced the latter, without neglecting the former. You blind guides! You strain out a gnat but swallow a camel.
"Woe to you, [religious people], you hypocrites! You clean the outside of the cup and dish, but inside they are full of greed and self-indulgence. Blind Pharisee! First clean the inside of the cup and dish, and then the outside also will be clean.
"Woe to you, [religious people], you hypocrites! You are like whitewashed tombs, which look beautiful on the outside but on the inside are full of the bones of the dead and everything unclean. In the same way, on the outside you appear to people as righteous but on the inside you are full of hypocrisy and wickedness.
"...You snakes! You brood of vipers! How will you escape being condemned to hell?"