From the seemingly innocuous "tax cut for the rich" (classic Marxism) rhetoric to their political campaigns which blatantly portray business as public enemy number one, yes, I would say that the goal, in the mind of the elitists certainly, would never be admitted to as being Communism, but the potential result makes the difference academic.
I also believe that our economic system is more fragile than some seem to think, and that there is no recognition whatsoever by unwitting Democrats that their support for the party is putting the system in danger.