The protestors and leaders of Occupy Wall Street have not made any explicit references to the Constitution - they aren't explicitly claiming that their movement represents or promotes any 'true' Constitutional vision. The Occupy Wall Street movement is, however, deeply constitutional - more so than the Tea Party movement which made a fetish of the Constitution.
To begin with, many OWS advocates are critical of the Supreme Court's decision in Citizens United. They believe that the Supreme Court does not properly understand the democratic function of the First Amendment's guarantees of speech and press. They believe that the Supreme Court has twisted and distorted the true meaning of the First Amendment. And they are exercising their First Amendment rights to petition and to assemble in the streets and parks of the United States.
Yet considered most charitably, and in their best light, the Occupy Wall Street protests offer a still deeper vision of the Constitution than simply a rejection of Citizens United.
OWS advocates argue that the system of government in the United States is broken. The wealthy and powerful have used their wealth and power to buy access to government, and to use that access to twist regulations and programs to make themselves even more wealthy and powerful, thus turning American democracy into a self-perpetuating machine for taking from the have-nots and giving to the haves.
This self-perpetuating machine for extracting wealth and opportunity from the 99 percent and bestowing it on the 1 percent is a perversion of the American Dream. ...
The American Constitution is the framework for a democratic republic. A democratic republic, in turn, is system of government that is designed to be responsive to the people of the United States as a whole, and not to the wealthiest 1 percent.
Read the rest, it's all very relevant...