In the spirit of Judy Barry, I think this is an opportunity- but a challenging and delicate one. It may be an oportunity to build a bridge and cretively expand the picture of patriotism, etc. But, I think those activists participating should be wary that supporters of a military solution may also consider a violent solution to resolving personal conflicts as well: such as someone who gets in their face... or someone who questions their beliefs.
I, for one, will take the Women in Black approach. It's no cause for celebration and I will witness the procession in silence, not as a heckler.