I've been to both too.
I enjoyed both, but if I revisit one of them it'll be AKL. It really does feel like another world there and the private buses were great.
My questions for you are:
1. What time of year are you going? WL is amazing in terms of holiday decorations. It's very Christmas-y and that's why I chose it for my recent trip. If you are going in Nov/Dec/early January and are looking for Xmas atmosphere WL is the better option. At other times of the year the architecture is fairly similar between them, though I preferred the decor at AKL. Also, the Mara (CS) at AKL is bigger so if you think you'll be eating casual meals at the resort a lot and you're going during a crowded time like mid-summer AKL might be better.
2. What are your kids into? We don't have kids and AKL is definitely more adult (the food, the theming -it's quieter too), but if they're into animals and adventure it would be a good fit. If they're more rough and tumble WL might be better. WCC has good food, IMO, but it's loud and boisterous and interactive, which kids seem to love and some adults really don't. You can hear it all through the lobby and in the rooms that border the lobby.
Also, don't forget AKL is under construction right now...
Good luck and let us know what you choose.