I think one of the comments in here mentions that Japan only accepts PET plastic which apparently doesn't have these issues. Regardless the main issue is that the US is not strict about how we label things or regulate things related to recycling. There is only a small subset of plastics that are recyclable.
As the other poster mentioned, med schools aren't actually the barrier to increasing the physician workforce. In order to be a practicing physician you need to go through residency training. However the number of residency spots has stayed fixed for the last 3 decades and is controlled by government funding.
If you want more doctors, lobby your government to increase residency training funding.