The most obvious signs of irrationality...
...is contradiction and hypocrisy
To tell others that judging is wrong, is to make a judgment about the behaviors of others and is therefore a contradiction and hypocrisy.
To tell others that they shouldn't be judging others, is judging the people who are judging which is a contradiction and hypocrisy.
To tell others not to judge others' values and beliefs, is telling others what they can and can't think and can and can't say, while one is thinking whatever one wants and saying whatever one wants that disagrees with others values and beliefs and therefore is judging others and judging their values and beliefs, of who are judging other's values and beliefs, which is a contradiction and hypocrisy.
To tell others not to judge others' values and beliefs that are publically voiced / published is to tell others that they cannot disagree with others' values and beliefs nor voice theirs, while you are voicing your values and beliefs disagreeing with others, which is a contradiction and hypocrisy.
To tell others that they are sinning (absence of Truth+Love) by judging others, is judging the sins of others, who are judging others, which means the person telling others that they are sinning by judging would be sinning (if it really was a sin to judge others' behaviors, which it is not) and thereby is a contradiction and hypocrisy.
To tell others that only God can judge people, meaning only God can recognize and talk about what is and is not a wrong/sin (absence of Truth+Love) and/or only God can tell people about their errors/faults/sins, is acting like God themselves because the entire opinion is a judgment of other people and what is or is not wrong/sin in others; i.e. judging people, which was just said only God can do, thereby being a complete contradicting hypocrisy.
Jesus Christ directly states in Scripture not to judge others at all if you are going to judge wrongly, because you will be harming yourself. Jesus also clarifies that we can judge what is and is not a sin in/with others and ourselves, but we need to first stop being a hypocrite and learn how to judge rightly. Matthew 7:5, "Thou hypocrite, cast out first the bean in thy own eye, and then shalt thou see to cast out the mote out of thy brother's eye." [Douey-Rheims Bible] The Bible also states how to talk with others about their sins in Matthew 18:15-17, Galatians 6:1, 1 Timothy 5:20, James 5:19-20, and Luke 17:3. Trying to use only part of Scripture while rejecting the other parts of the Bible is contradictory. All both of which are the absence of Truth+Love; i.e. sins.
To believe, "it's okay to judge actions, but not intensions", is also a contradiction, since intensions are interior actions that can be known either based on what the person says, and/or based on explicit external actions themselves, since external actions are caused by interior actions of the intellect (mind) and free will of the soul. What is wrong to do is to assume (ASS-U-ME) and project our intensions onto others, or judge in order to feel superior, which leads us back to "cast out first the bean in thy own eye". The problem is when we use our own perspectives, attitudes, priorities, expectations, and desires to judge how things appear to us, and we failing to ask Jesus the Christ what the Truth is about what we are seeing. "Judge not according to the appearance, judge [with] just judgment." John 7:24