There is almost always a current thread about WDW coffee - which is Nescafe at almost all locations. The exception is some of the speciality restaurants - the Kona Cafe, I think the restaurant in Morrocco, the Fountainview cafe, the AKL - where they serve the "local" coffee - and the Dolphin, which isn't technically WDW.
We are also coffee snobs - although we won't drink Starbucks. Even their light roasts taste burnt to my husband - who used to be a coffee roaster. But tastes are different - some people like the normal coffee at Disney!
Coffee snobs should think about bringing their own. Bring a press pot and you'll just need to get your hands on hot water.