Ooooh, so people miss the fact that the POV character is mentally ill and that everything Tyler Durden does is literally insane?

How? The movie comes out and says that point blank.

Oddly enough, the Blue Man Group sums up the message of Fight Club the best - without even trying to - in their Complex Rock Tour:

Rock Concert Movement #237: Taking the audience on a Jungian journey Into the collective unconscious by using the 'shadow' As a metaphor for the primal self that gets repressed by the modern persona, and also by using an underground setting and labyrinth office design to represent both the depths of the psyche and the dungeon-like isolation of our increasingly mechanistic society Which prevents people from finding satisfying work or meaningful connections with others.

In a world where the cause of literally every character's misery is extreme loneliness, the one man who does anything about it is the guy who is also suffering from severe untreated schizophrenia. Domestic terrorism ensues.