There are many needs to diverse viewpoints in our world. Sometimes it is beneficial to hear from those who want no society, or pyramid schemes of power. The idea that building a group of people on completely equal, unregulated freedom is not a useless idea, it is one filled with humanity and compassion.
I think that there are some valuable points to anarchism. I think that the basically idea of wanting to be free from government can be useful. People often be too complacent with their government and let them take too much power from the people. It can be a good starting point for people to take back some power for themselves.
I believe the political ideology of Anarchism is valuable. I believe all political ideologies hold some value. From what I can see no one system is really sufficient enough to support a government, so it's better to pick and chose the good values across a variety of systems to balance out any problems.
Nearly any political ideology is valuable. Even the fascists could make the trains run on time. Anarchism is valuable in that it makes us consider why people desire freedom from their governments. In what ways would the world be better without government intervention in our lives? In what ways would proponents of Anarchism deal with the dangers of removing state protection? Saying that the ideology of Anarchism is valuable is not the same thing as saying that the ideology is ideal.
I don't believe Anarachism is a viable way to run a country, resources would be scarce and there would be large amounts of unrest everything destroying any quality standard of life, I think Anarachism just would never work in today's modern society where people are used to the Government being present.