I'm not an anarchist, but a lot of people here are misrepresenting anarchism. Anarchists don't reject coordination or planning, only hierarchical state control. Large infrastructure would be built by federated councils, unions, and communes, with common plans and technical bodies coordinated by accountable, recallable delegates. Central coordination without a state hierarchy is entirely possible.
My disagreement with anarchism is different: I think only a state with a strong coercive apparatus can survive sustained imperial pressure and capitalist encirclement.