Anarchism opposes all government.
Conservatism tends to defend traditional social norms and values instead of social upheaval and advocates restraint of governmental taxation and spending. The nexus between the two positions is that traditional social norms and values are undermined by big government programs and initiatives, such as welfare, social engineering through the tax code, imposition on education, etc., but that there is a proper role for government at different levels, federal, state and local, which is defined by the Constitution of the United States.
So, an anarchist cannot, by the very nature of his/her opposition to all government, be a conservative, who, by the nature of his/her support for the constitutional order of the United States, supports a limited, clearly defined and minimal government, but which has the power to act decisively in times of genuine crisis (war or natural disaster) in order to protect the lives and property of American citizens.
Glad to have cleared that up for you.
Now the stupid bastard is going to have to buy new emo slogan shirts at Hot Topic.
You shouldn't hit the young and clueless with the cold douche water of their illogical natterings. :p