The Amish around where I live (Midwest) run a bunch of great little stores (which is most of the contact I have with them personally, but my partners mom has friends in their community who come to visit now and then.) The stores all take credit cards and have refrigerators for the cheeses/dairy, and many of them do use machinery for farm work. Some even use cell phones.

I haven’t noticed any jewelry (haven’t paid attention), but they really do seem to pick and choose which portions to adhere strongly to.