2 things come to mind.
1 - as the previous poster said, there may be something wrong with the reservation. I have seen many many many posts where the poster said they were absolutely sure that both the reservations were the exact same. Absolutely refused to believe us that something might be wrong with their reservation. Then they come back later with soemthing like "can you believe they left off one of my kids" or "can you believe that they the said they included delux dining but it turns out that they only put in regular
ddp." Or on the other side the Disney travel company quote may have inlcuded extra things. Like how water parks and hopping on your tickets, or insurance which they automatically include unless you tell them not to. You need to double check the actual reservation you already have to be sure. Call AAA and ask them to read off the specifics of the reservation to you (or check any written conformation you have.
Check the math here -
Free quick service dining should save you $30/night/adult. Since you said we, I'm going to just assume that that is atleast two adults in the room, making your savings atleast $60/night.
To get $60/night savings with a AAA discount of even 20% (I believe that is the biggest % off they offer) your room would have to be $300/night. More often the discount is only 10 - 15% which means your room would have to be atleast 400-600/night. Then you are saying that that AAA discount is not only better than the
free dining discount savings but $400 better. Which would mean your room would have to be that much more expensive.
2-If your original reservation was with AAA you can only access that reservation through AAA. If you decide to work through Disney, you will have to cancel your AAA reservation. SO again, I would call AAA. Verify what you have and ask them to price out what the change from AAA discount to the free quick service dining would be. They can change which discount you will use without cancelling your original reservation.
OOPS I know you were talking about free dining not free kids. I don't know why I typed that.