The same applies to any other crime. Lets say you were ordered to pay restitution for your "tagging" of a church, would that be payable to all Jews, all churches or only to cover repair/repainting of the damaged building? Why should that be based on the content of the graffiti? What if the graffiti said I hate Obama or property of the bloods?
Your analysis of the beltway sniper(s) is also wrong, some of the shootings (those with the handgun) were done in the process of a robbery, others were done to make the real purpose, the planned killing of his estranged wife, seem to lack any motive. Does it matter to you why the perp decided to break your nose? Is it somehow worse if they hated the color of your skin, your wearing of an opposing team's sports jersey, wanted to take your wallet or simply wanted to impress their girl/boyfriend?