Yes, we can agree that those who commit arson, vandalism, & battery should be prosecuted to the full extent of the law, regardless of their reasons or political persuasion. 
I hesitate regarding assault. Many consider vile speech an assault, but the legal definition of assault differs from that. (WIKI:"An assault is carried out by a threat of bodily harm coupled with an apparent, present ability to cause the harm.") I favor the legal definition.