You will only find Coke Products at Disney. There's even a modified McDonalds hiding inside Animal Kingdom - near the Countdown to Extinction ride. No value meals at this location, but they do feature authentic McDonalds fries. At the Polynesian resort, we suggest Captain Cook's Casual Eatery. It's now open 24 hours and features plenty of quick fixings and a full grill until 11pm.
Prices are very reasonable.
We found this a good choice for a quick bite in the morning as they feature cereal, bagels, muffins, juice and coffee. Just enough to get us started on our day. Most resorts feature a similar fast food option.