What is distinctive about writers of Modernist drama?

I think that one of the distinctive elements of Modernist
drama is its embrace of a fragmented consciousness.  Modernist drama is very open and
willing to concede that there is not much in way of unifying conceptions of the good. 
Unlikes its predecessors in the dramatic field, Modernist drama is able to embrace that
the traditional plot structure where characters fully understand their wrongs and seek
to bring justice and order back to the world is not an accurate depiction of the world. 
Modernist drama fully understands that reality and its depiction is more important than
forging a moral order that might be false and contrary to the individual experience in
modern consciousness.  Ibsen and Chekhov are examples of Modernist writers that were
more driven by depicting a real world aspect to their work.  For these writers, daily
life was far more important, more worthy of dramatic depiction, than a structure that
was forced to embrace moral perfection.  This is what we end up seeing as being
distinctive in Modernist drama.