Lignin (wood) and cellulose are pretty tough to break down, but there are things that eat them.
Plastic fundamentally (chemically) is made of the same stuff as wood, just in a different arrangement of atoms, and releases energy when decomposed. So it seems quite reasonable that there would be things that can eat it.
I think the plastic pollution we are seeing right now is a temporary thing - soon enough there will a large enough population of plastic eaters that it will no longer be a problem.
(We should avoid plastics that have chlorine in them though, except where needed. PVC is the most common example of a plastic like this.)