I worked for 3M for 21 years(76-97) and I love their products. But, my wife works for some of the local Performing Arts/Theater doing hair/makeup and costumes. I don't remember the name of this particular fabric adhesive but, it's incredable. She has actually made a dress using only this adhesive which can be found at any frabic/sewing/craft store. This(let's call it glue) holds up through sweating under hot lights, sitting/standing, dancing and costume changes. And best of all, it easy to apply. Easier to apply than spray type adhesives as I beleive this "glue" comes in a stick like lip balm(ChapStick). I think that if the glue holds up under this kind of stress that, it will hold a peice of interior door fabric. IIRC, Cheap too!
And no, this isn't the only way they make their costumes for the productions, they actually sew the costumes together. But, when a charactor has a rip/tare during an act, this glue is a quick fix that just happens to hold up quite well.
I don't know if this is the same product like the "As Seen On TV" but it's similar.