FYI: Disney does have areas for children to be changed and fed. I have no opinion either way on the breastfeeding issue, i just thought that many people would find this helpful.
Baby Care Centers
You can change and feed your baby at these Baby Care Centers hosted by Carnation Baby Formulas.
Magic Kingdom® Park:
The Baby Care Center is next to The Crystal Palace restaurant on Main Street, U.S.A.
Epcot:
The Baby Care Center is inside Future World's Odyssey Center.
Disney-MGM Studios:
The Baby Care Center is in the Guest Services Building inside the Main Entrance.
Disney's Animal Kingdom® Theme Park:
The Baby Care Center is behind Creature Comforts in Discovery Island.
Disney's Typhoon Lagoon Water Park:
There is no baby Care Center, but the restrooms do have baby changing stations.
Disney's Blizzard Beach Water Park:
There is no baby Care Center, but the restrooms do have baby changing stations.
Downtown Disney® area:
There is no Baby Care Center, but the restrooms do have baby changing stations.