He confuses "focusing on being right above all else" with "signaling that you are always right." The two are completely different; the former is essential to rationality while the latter is merely obnoxious.
Sometimes I say to myself that I want to be right so badly that I'm even willing to change my mind to do it.
On Quora: What are some stupid things smart people do? Examples of common types of stupidity that are typical of otherwise very smart people.
Lee Semel's answer in particular would make a great post here: a "to don't" list. You may wish to go through and identify the cognitive bias or biases each is an example of.