We went to Shula's last trip and we were staying at the Contemporary. This is how we got there and back:
Going- caught a bus to DtD, and transferred to a Swan/Dolphin bus. This took just over an hour!! (We waited probably 10 minutes at the CR, about 15-20 minutes to get to DtD, then waited at least 10 if not 15 minutes for the bus at DtD).
Had a very nice meal- food was A+, service was okay- I would give our one server a C-, but his co-server was an A+. If they didn't work in teams of two and we only had the one guy, I would have been very mad about paying for a $120 dinner with slip-shod service. He was very distracted with the party of 15-20 people that got seated after us- of course it was going to be a $400 tip easily, but nonetheless....
Coming back, after the transportation taking FOREVER (Which I did know in advance) we decided to take a cab to Downtown Disney and we shopped and had some fun. Then we took a bus back to the CR and that wasn't a problem. Since it was our date night and we on somewhat limited time (we told our parents we would be back before midnight since they had the two kids in their room), we splurged for the cab. If it was just the two of us and didn't have any time worries, I don't think I would have minded the busses. I have to add that the MK resorts are just about as far away as you can get from DtD, so it is about a 15+ minute bus ride, and that's if there is a bus waiting for you as you step out of your hotel.