Typical fallacies:
Psychological projection: assuming that the conclusions of others are only wishthinking, when promoting wishthinking.
Straw man: obvious ignorance about atheists, replacing them with an "atheist" straw man. For instance, non-belief because of a lack of evidence does not mean hoping that it does not exist. "Atheist" and "agnostic" are also confused as one here.
Appeal to false authority and more straw men: cults dictate how to interpret and "reason" and eschew independent expertise and thought, they thus misrepresent expertise and actual research which is distinct from rote learning and recitation. They also tend to cite old scripture while denying the fact that it's only human culture.
A priori conclusions and reality denial: instead of verifying if the claim is true, it is assumed to be, even in the face of a lack of evidence and of contradicting evidence.
Cognitive dissonance and friction against the world: remaining lost in flawed philosophy and accusing the world for not blindly obeying, frustrations accumulate when confronted to reality. The indoctrinated tends to constantly recite outrageous statements that others may react to, which can also result in other disorders like social anxiety. Or arrogance and even violence when unable to reason and insisting to impose. It is more healthy to address actual problems with actual solutions, instead of relying on hope and magic.
Slippery slope and more projection: critical thinkers who do not blindly adhere to belief without evidence do not "believe anything", precisely. Unlike the superstitious who may jump to dangerous conclusions, like that illness must somehow be due to a magic attack by another village, resulting in violence. Or that a rain diety must be fed a human sacrifice in case of drought. Or that a certain person must be a witch or heretic and deserves punishment. Or when instead of seeking proper medical help, demon exorcism or quackery is resorted to. Or that an object or house must be burnt because it's cursed or possessed.
False witness: accusing others and attributing false nefarious motives. Here those who don't believe without evidence are falsely accused of willful rebellion.
Elitism: claiming to know better, of having special access to ultimate truth, to have the authority to oppress others.
Insecurity and immaturity: needing to cling to an imaginary parent.
Gullibility: easily exploited and manipulated by cult leaders.