I'm with the others who say the resorts are really too different to accurately compare. They both offer pros and cons and it really depends on what you're looking for in a resort. I'd say that if I had kids in the age range of yours, I'd probably pick POFQ. Also, I think staying at a moderate resort for your first trip is a good idea. We stayed at POFQ first and on our next trip stayed at AKL. Our upcoming trip, we're going back to POFQ, but I'm already having a hard time mentally shifting away from the "niceness" of AKL. I just really really really enjoyed being INDOORS. Once you were IN the resort, you were really IN the resort, you know? It's a small thing, but I find myself having to remind myself of that difference.
Also - one more random piece of info that might influence your decision.... The walk to the bus stop at AKL is downhill. Which is fine in the morning. But after a long day at the parks, coming back UP that hill really seemed to kill us. And that was WITHOUT dealing with any kids. As far as I can remember, POFQ is flat all the way around. So there's that to consider as well.
Both resorts are fabulous, though, so I don't think you'll go wrong with whatever you decide. I do agree that the pool theming at POFQ is probably better for kids in the age range you have.