Thanks.
We were planning on doing:
Thursday - Animal Kingdom
Friday - Epcot
Saturday - Hollywood Studios
Sunday - Magic Kingdom
This means we'll be at Animal Kingdom the day before the show opens.
I've asked my family members to weigh in on changing our plans, losing our FP+ reservations, etc. I'd rather not change things unless they really want to see the show, because I suspect that Thursday will be among the least attended days at Animal Kingdom Park for months.