That's a lot of prescription talk, but I wouldn't be too worried as long as they're not literally pushing for it. If they just shrug it off if you say no, I'd leave it at that. My doctor, on the other end of the spectrum, doesn't offer anything like that. It's fine by me, since I don't care to take anything, but there are people who don't particularly like it. They're doing the same thing as yours when it comes to internal exams. I've not had any and I likely won't, until they decide I'll need one (active labour, pretty much).
The diapers are all cloth (we do have one small package of newborn disposables for just-in-case purposes), mostly ordered online from Alva Diapers. It's a Chinese manufacturer who sells them really cheap, but they're also really good. I do have a few FuzziBunz and some other brands, too, as well as cotton fitted diapers by Workhorse Diapers for a newborn (those require covers, as well).