Hi Nicole!
You are thinking of quite an ambitious plan for New Years Eve this year while at Walt Disney World. It is so hard to guide a guest as to what they will be able to fit in as the traffic on this night will be horrendous for all parks and Disney Springs, as everyone will be trying to get to their celebration point for the evening.
At this time the
Rivers of Light Show is scheduled for 7:15pm on December 31st. The
Hoop Dee Doo Revue will have three shows that evening starting at 4:00pm, 6:15pm, and 8:30pm. In my opinion you would only have one possibility to do both and that would be to do the first seating for the Hoop Dee Doo Revue. But then getting to the Animal Kingdom and to the Rivers of Light area would be pretty hard to do on time.
Transportation in the Fort Wilderness resort to get to the show is via internal buses. You will have a wait usually for one that would take you down to where your car is parked. Then parking at the Animal Kingdom park is going to take time. The Rivers of Light show is located a distance into the park. Add all of that together and my strong suggestion is to choose one or the other and not try to do both. I am afraid you will be disappointed if you run late and then stress and ruin such a fabulous evening.
My choice would be to enjoy the Hoop Dee Doo Revue and catch the Rivers of Light show at some other time or next visit.
New Years Eve is a fun but very busy night in the parks. Most will have a soft close at some point meaning only resort guests or those with dining reservations will be allowed in. Capacity is reached early as everyone wishes to enjoy the great Disney fireworks welcoming in our new year, 2018!