A patient told me that she had seen something useful on Oprah a while back. Some therapist-type had suggested that, when something about somebody bugs the heck out of you, write a letter to them telling them about it.
But do not mail it. Cross out their name, address it to yourself, and read it as if directed to yourself.
The psychology of how and why we tend to be so annoyed by things in ourselves that we wish to disown, and thus react against in others, is too messy for here. It's enough to say that we all have many tricks that we use, usually unwittingly, to feel OK about ourselves instead of sinking into painful self-reproach. It does not always apply, but applies often enough to be a good rule of thumb.
Give it a try. It is not much fun, but could be educational.