It's not their router. In fact, the traffic shaping on the routers and QoS management is part of the problem.
I've found the Wifi drops many times, not because of signal, but due to DHCP lease expiration. This means that they have QoS (Quality of Service) set so low that unless you are constantly using network signal, then you lose your connection and must reconnect.
They are doing this for a variety of reasons, but I suspect the primary one is a bottleneck at what networking geeks would call "the edge"...in other words, they are attempting to manage the amount of traffic passing between their various ISP peering relationship.
I could ramble on about this for a while, but having done some network analysis (not what I do full time, but I know enough to poke around) while I was at Pop because the Wifi frustrated me so much, that's what it appears to me.
Of course, no netadmin at Disney in their right mind would even discuss who their peering partners are, etc...but, I strongly suspect that Disney acts as their own ISP internally. So, it's all left to where they hand off to the outside world. Like I said, a simple tracert to an offsite location (like google.com or something) and then watching the IPs which report back tells you a lot.
I found a simple ipconfig /release then ipconfig /renew generally bounced my service fine, but since you can't do that easily on the iPhone / iPad, I'd have to disconnect from the wireless and reconnect...even though according to the phone, I was connected to the Wifi just fine with plenty of signal.
So...as I said, it's not their LAN (or CAN / WAN) infrastructure that is the issue, I think. It's the bottleneck they have getting to the outside world.
Now, why they don't just host mirrors of the My Disney Experience app servers inside the WAN, and then use DNS to keep you from hitting the public servers when you are on their network... <shrug>
In addition, Wifi invites for far more network traffic than traditional copper. In the sense that, while you uploading videos at night to youtube, or photos to flickr from your laptop is a common practice...imagine how many more people are doing it now, all day long, from their phones. Posting to facebook, sticking pictures on facebook / flickr, etc....list goes on.
I'm sure it will get better...but lord knows when. They were beta testing it at CBR in 2010 when I went there, and it was horrid. I was so happy to see copper back in 2011...only to have it gone again, even as an option, in 2012.