My dh is allergic to turkey too (people generally look at him like he's odd when it comes up so it's nice to know there's someone else out there with the same problem!)
I can tell you the hot dogs at Casey's are (or were in Sept) beef and chicken as the PP mentioned. Dh didn't have any problem with them. We also eat all beef hot dogs at home - I can't say Casey's HD were "wow" but they weren't bad.
The only issue we've had at Disney was at Liberty Tree Tavern. The chef was upfront and said because they go through so much turkey it could be a problem but we took the chance and dh did have an unpleasant reaction so we won't return there (although the food was great!).
If you or your wife ever has a question about food ingrediants - do ask the folks at Disney will bend over backwards to find out accurate information.