I say pay fishermen to drag fine nets through the surface of the ocean to collect the trash, and transfer the trash onto pick up boats that will take the trash back to land for disposal.
Who has another idea?
Sorry JiffyLube but there is a problem with your solution... I imagine anything fine enough to pick up small pieces of plastic would pick up a lot of sealife as well. The cure could kill more than the disease.
But I agree, the talk should be about solutions. Stopping the production of plastic is also not a solution. Unfortunately, I don't have a good solution for you but I suspect that the best one will lie in the production of better plastics.