Just checked with someone that works for DVC sales that I know & BLT no longer has a DVC sales office, and VGF's sales office just closed as well so new member ID cards are NOT available there.
DVC Members may get new ID cards if they have a photo ID on their person at time of request, and can't get them for anyone else on the membership. All sales center hours are from around 8:30am to 4:00pm. Current sales centers that can print member ID cards:
Saratoga Springs Preview Center
Boardwalk Sales Office (location well described by Disneynutz, Post #10)
Kidani Village
Villas at the Polynesian-office in the end of Moorea
Before traveling across property to one of these locations be SURE you have your photo ID and perhaps have someone call the sales office you are headed to to make sure their card printer is working. My source says that these machines are finicky and break down sometimes. No need to make a trip for nothing, right?