The original formulation of Marxism was economic, based on the struggle between the proletariat and the bourgeoisie. This conflict worked to create communist revolutions in nations with more feudalistic systems like Tzarist Russia. However Communists have struggled to create revolution in more Democratic societies with greater social mobility, or at least the perceived possibility of.
So failing to get the economic class consciousness to trigger a revolution, the modern Marxist has moved on to pushing race/culture based class consciousness as the trigger for their revolution. This is why todays Marxist is not obsessed with rich and poor but white vs black vs hispanic.