Regardless of whether Anarchism itself is political or not there are certain issues that need to be dealt with. One I already mentioned, the strong preying on the weak. How about basic sanity needs? Power, water...protection from other countries that may want to take advantage?
Anarchism solves none of these issues, simply (like I said before) portrays the image of blissful ignorance where these problems solve themselves.
I agree with the fact that there are many problems with democracy, or with any other form of government. But these can all be solved within the state structure, by delegating power downwards into regional government, and by proposing more frequent changes to the system. Every government has been changing since it was concieved. It is naive to think that doing away with it all will solve anything. There is no need to do away with the state altogether.