No we do recycle quite a lot. Actually Pollard's who do the garbage collections where I live in the south are great they control the recycling and picking up big items and general garbage. They generally rock up once per week in two different trucks one for your recycling and one for general trash,but you can arrange other collections as well, so on a Monday for example you can call them and they'll come out and collect up to two large items. My partner is very recycling friendly though but there are reasons most people recycle. The only thing you can't recycle curbisde in Georgia is glass, cereal liners, foil containers and some lids, that kind of thing, you have to take glass to a site other than that it's very convenient and easy to do. There's obviously a general waste site for other things as well and you buy your garbage bags as you want them at $3 per bag, and recycling at those sites is free, so people do recycle a lot in efforts to keep their garbage disposal bill down.
No idea really how it works in NY in terms of who does it because it's an apartment building we're in so you just deposit your trash and recycling as normal, I've not had to contact them at all, but generally I've seen little difference in the US to the UK in attitude, some people are very diligent and some couldn't give a hoot. x