Their leaders tell them that protesting the war makes you a traitor, and traitors are likely to vandalize monuments. Therefore they must show up and "protect" the war memorials during the anti-war protests.
http://home.comcast.net/~bfmuldrake/why.html
These guys are linked to the MIA movement, who bring some serious delusions of their own -- that some of their war buddies are still alive in Viet Nam and are prevented from coming home by a conspiracy of governments. The probable truth is that most of their friends were killed and the bodies disposed of in disrespectful ways, and a few others deserted.