We do the safari every time we make a trip to Disney. The one thing that everyone likes about it is that it is never the same experience as the last time. The average safari averages about 20 minutes. However, on one trip it was over 45 minutes because a rhino was on the road and would not move even with the luring of food. Then, we had a trip that a giraffe almost stuck his head completely inside the car. Scary!! We had one trip that we saw only a few animals. I quess they were all on vacation that trip.
When the park first opened a safari guide gave us this tip. Go first thing in the morning since the animals are up and moving around or wait and go about 1/2 hour before the park closes. We have had better luck going right before the park closes esp since there is very little of a wait. Have Fun and ENjoy your trip!