"And if they can convince people to join them in public antiwar displays which are painful or disgusting or embarrassing or which cause the general public to react negatively, this has the effect of causing many or most of these new recruits to become bonded to the group, and thus potentially to coming to accept the larger agenda of the parent organization, which is to say, the WWP."

Bingo. But it goes deeper then this. The Marxist forces (ANSWER and the Worker's World Party being first among them) behind the anti-war movement hope to leverage the public violence around the war into a full scale revolution. It worked in Russia and they're hoping it will work here. I don't think I need to point out that this is also, by any objective or legal definition, treason.