It only adds to the discussion to show that what seems on the surface like a nice idea is actually intrinsically illogical.

It's clearly not intrinsically illogical. Societies of scientists demonstrate that it's possible to harness human instincts against human biases. In many societies of scientists, the perception that one is ready to accept they are wrong when collating new data trumps the natural ego driven desire to be recognized as "right."

While it is clearly far from perfect, it is undoubtedly effective. Likewise, there have been examples of societies and organizations that demonstrated effective self-awareness of out-grouping psychology. (Two were headed by Martin Luther King Jr. and Gandhi.)