Once again, here is my nap recommendation. Do it. Around noon and wake up around 5pm. Sure, you are missing park stuff but look at how many people love naps! THE GROWN-UPS!
The kiddos usually will play with their new items they got or watch tv. Disney actually makes an entire channel devoted to Disney stuff!
It gives us a chance to pull it back together. Digest our lunch and get off our feet for awhile.
Then you can come back into the park after all the other families have had their hunger meltdowns and be ready with a fresh pair of shoes and with a sweater for the wet rides or the cooler Cali weather.