For all shows and rides, you will have to park your stroller outside in a designated area before getting in line. The problem is that there are fire codes and other policies that Disney has to adhere to and if they let even 1 stroller in, everyone would want to bring their stroller in, and the shows would be overrun with strollers which would make for a huge safety hazard. If one of my kids has been asleep when we are scheduled for a show, either my husband or myself will opt to stay with the sleeping baby outside and the other will take the kids to the show. Or you could wake up the baby and carry them into the show although that option is not as appealing as you might have a very cranky kid on your hands! Best to let them sleep has always by my opinion.