What do you mean by coordinating cooperative activities broadly? Surely culture also coordinates cooperative activities in numerous ways without the requirement of the market.

Religions, the use of force, ad campaigns, and volunteer organizations can all coordinate cooperative activities that are not already embedded in the culture as well. Not to mention the contributions of evolution in inclining us to cooperate and providing the tools we need to do so.

The market didn't build Rome or Babylon.

Of course the market is flexible in what sorts of cooperation it coordinates, but there are still some types of generally desirable cooperation that it fails to coordinate. And much real-world cooperation--for instance, on the family level, and everything predating the market--relies on other means of coordination. It would be a shame to neglect these.