Sony would seem like a good fit, but I'm still warey of how they handled MFS. But out of the other studios, they seem like the best choice.
And Mickey does share the shelf with movie characters from time to time. A limited time, sure, and it depends on the success of the film.
If it wasn't for Mickey's Clubhouse, you'd be more likely to find Cars, Princesses, Power Rangers, Buzz Lightyear, Pooh, and the "released from the Disney Vault" characters of the month than even the Mouse himself.
It's no secret how I felt about the theatrical release of Muppets From Space. I could just hear nails pounding into the Muppet coffin while watching it in the theater. The audience simply didn't respond. Neither did I (until it hit home video - it plays much better that way). But I think the the problems with that pic had more to do with the creative force(s) than the studio. There were rumors of multiple directors and writers throught the filming process. That's never a good sign. Also, the movie really never took-off.
Anyway, back to Fraggles. Of all the studios, it appears to me that a Sony-driven picture would better allow freedoms and market to strengths than others like Disney that would arbitrarily try to stamp ideas into the picture to sell a product etc.
About the Disney Store:
There's one several blocks from me. Since I met my partner the first week of January I have been trying to purchase a Donald Duck mug in the store. They simply didn't carry Donald mugs this year! Tinkerbell, Mickey, Pooh and others, but no Donald. And in their signature store (yes, I know they're privately owned and merely stocked through Disney).
I am informed that they rotate their character choices, but I finally had to turn to secondary markets for mugs. There are some very good vintage and a few new ones out on Ebay etc. I finally got all the mugs he could ever use. It's just frustrating to have money burning a hole in my pocket (set aside for Donald stuff) all year long and not having "the" Disney store respond to that need. I have found that Donald Duck is actually equally as and many times more popular than the Mouse. I enjoy Disney, but those stores, for a while now, only serve little purpose to those over 3 years of age. Off-topic Rant over.
I wonder if Disney backed the Fraggle movie if they would promote it in the store. They own the Muppets, but didn't promote Oz one bit. In fact, the staff hadn't even heard of the project.