Let's make a few things very clear, because the OP's original post contains a strong amount of misinformation, namely the idea that Big Hero 6 is annihilating Interstellar. I'll go point-by-point instead of writing a novel.
- Interstellar is a 3 hour PG-13 film that has absolutely no appeal to anyone under 13, while Big Hero 6 a family-oriented film coming in at less that 2 hours.
- Interstellar's only branding and franchise appeal is the director, Christopher Nolan. Big Hero 6 comes from a mostly unknown Marvel comic, but it's general branding and franchise appeal stems from Walt Disney Pictures
Here's where some of my observations veer into subjectivity, but I think they're valid given the current finances:
- Big Hero 6 is a mostly safe, predictable family film that aims to appeal to a mass audience. It's entertaining, but its ambitions are not worthy of special note.
- Interstellar is a generally unpredictable, very ambitious film that doesn't pander to pre-teens and the lowest common denominator. This is actually one of the things I most respect about Christopher Nolan - he manages to make big budget, high grossing films that challenge the audiences with big ideas and grand ambitions, their own faults and all.
- Big Hero 6 will probably have a better shelf life after theatres due to sequel potential and the fact that the film experience will serve well as home entertainment.
- Interstellar is one of the most prominent examples a theatre experience that we've seen since Avatar.
All this leading to the finances thus far:
- Big Hero 6 has a budget of $165 million (minus advertising and marketing). It has grossed $110m domestically and $35 internationally, for a total of $145m thus far. That number will increase significantly as the film opens in theaters around the Pacific Rim. It should hold up well this holiday season considering the only two directly competing films will be Madagascar Penguins and Night at the Museum 3.
- Interstellar has a budget of $165 million (minus advertising and marketing). It has grossed $97 million domestically and $225 internationally, for a worldwide total of $323 million thus far. That number will increase significantly as it opens overseas more, but it will face greater competition from more teenager and adult entertainment throughout the winter (Hobbit, Hunger Games, Horrible Bosses 2, The Interview, American Sniper, Into the Woods).
So, Big Hero 6 annihilating Interstellar? Hardly. Disney is riding a high of goodwill from Frozen last year, and even if Big Hero 6 was a bad film (which is very much is not), it would have done well at the box office. The ads made it clear as to the tone and appeal the filmmakers were aiming for; it's probably the least ambitious and safest of Disney's computer-animated productions since Tangled.
Again, it was good at what it was attempting to accomplishing, but it was generally predictable and unmemorable compared to other films this year.
Interstellar has its obvious faults (namely, Christopher Nolan's tendency to provide excessive exposition to big ideas), but it's a hugely ambitious film that, even if I hated, I couldn't help but respect the hell out of. It attempts to marry the big ideas of 2001: A Space Odyssey with the human emotion and passion of Close Encounters of the Third Kind. It was an exhilarating experience in theaters, especially in IMAX 70MM. It probably my favorite film of the year and easily the best theatre experience I've ever had. High exhilarating and very emotional around a new, enthralling story. You don't see films like this often, faults and all.
As for a BH6 ride, sure, it could be fun. Makes sense in Epcot (moreso than Frozen in Norway). I'd like to see WDW attempt to make E-ticker attractions based on original concepts at some point instead of using film licenses to theme everything they build.
Rant over.