Chomsky is known to advocate anarcho-syndicalism, which seem to be democratic (Which I believe to percisely opposite to the anarchistic etho)Um, you know nothing about anarchism. The first person to call himself an anarchist was Pierre-Joseph Proudhon, whose most famous line is "property is theft". The first international was made up primarily of communists, led by Marx, and anarchists, led by Bakunin. Bakunin and the anarchists split from the international because they thought Marx's ideas would lead to totalitarianism. Bakunin's famous line is (paraphrasing):
"freedom without socialism is privilege and injustice, socialism without freedom is slavery and brutality"
Democratic may be the opposite of what you think of as anarchism, but what you think of as anarchism has no basis in history. You should probably choose a different word.
The anarchists who fought against Franco in the Spanish civil war, and who for a brief moment actually implemented anarchism in the real world, were explicitly anarcho-syndicalists.