It isn't just the US. The entire planet has an issue with the amount of plastic we're using and discarding and no nation has cracked the problem.
Let's look at recycling. Some plastics can't be recycled and will end up in landfill. Some plastics can be 'recycled' but actually it's more 'downcycled' - you end up with an inferior plastic than what you started with and eventually you recycle it a few times but it ultimately ends up in landfill. This is why, for example, you find companies using maybe 7 or 8% recycled material in plastic bottles - the bottle has to have a certain structural integrity so you get most of that with 'virgin' plastic and shove some recycled material into the mix. Plus I've never been completely convinced it is economically viable to recycle plastics. Most of our domestic recycling facilities are subsidized to some extent. People pay for their 'recycling' bins to be collected. And even with this, we still shipped a lot of it off to China. The problem is also that, even if you do try to recycle plastic waste, what you find is its so badly contaminated it ends up in landfill anyway. Mixing up plastics is only part of the problem, it's the fact that our plastics end up mixed with other waste that's the reason we sent it off to let countries like China sort through it in the first place. Except they ended up with lots of other stuff that ended up in their landfills rather than ours.
So I guess what I'm saying is that recycling is fine, but it's not the solution and never will be. The only real solution is to reduce the amount of plastics we use.