It might kill us, but then new creatures will evolve and grow, with plastic being part of their ecosystem, perhaps even desirable. In million years the future civilization of these creatures might have "plastic preservation programs" because the old plastic rocks are a finite resource upon witch their culture was built.
They might even gaze upon their plastic-filled oceans in awe, with some quasi-religious gratitude for the ancient race that gracefully filled the world with plastic that they might thrive.