For example, recognizing bias is a component of critical thinking. Rather than recognizing one's own biases, the reactionary thinker will instead tend to recognize bias in other's assumptions and arguments. They apply different standards to their own thoughts than they do to others'. You're absolutely right that this isn't critical thinking.
My hunch is that critical thinking doesn't work if there is isn't an space to be wrong. Even here, there's a tendency to "destroy opponents with facts, logic, and rationalism." I've participated in this myself. Frankly, it entrenches reaction instead of arriving at truth.
The subject finds it easier to retreat into the realm of the imaginary than to repeatedly confront a rupture in the symbolic order.
To illustrate - one can be empathetic and choose to accept that other people have perspectives which work for those others, though not for themselves.
Keeping quiet about one's skepticism doesn't require one to have a superior attitude, or be arrogant.
And given the state of the mainstream media this is really saying something.