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.
Well then, how about a plastic type material that breaks down faster? Whatever idea helps solve the problem the whole world will have to get behind it, because the U.S. can't do it alone.