People's judgements about whether or not to accept conclusions often depend more on how believable the conclusions are than on the logical validity of the argument.This phenomenon is termed:

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The phenomenon described in the question is known as belief bias, where people's preexisting beliefs and opinions affect their judgement of an argument's validity. In other words, people are more likely to accept conclusions that are in line with their beliefs, regardless of the logical validity of the argument. Functional fixedness is a cognitive bias that limits a person's ability to see alternative uses for an object, availability bias is a cognitive bias in which people base their judgments on the most readily available information, and belief irrationality is not a commonly used term in psychology.

People's Judgements About Whether or Not to Accept Conclusions Often