Plastic bottles and non-deposit glass bottles should simply be illegal. This is something that would have to be phased in, but it needs to be done. 

This article doesn't even take into account the percentage of recyclable plastic containers that are not recycled, that simply go into the trash. Nationwide, fewer than 40% of PET bottles are recycled. The percentage for other types of plastic is lower. 

I'm also wondering about the carbon footprint of shipping all the recyclables all the way to China. A 20 foot shipping container, for instance, generally generates  53.4 grams of CO2 emissions per kilometer traveled.