The Toy Story movies, can be seen as an in-depth discussion of faith and religion. Your absolutely right if the makers of the video were reading too much in to it, but that's the fun in it. Let me know what you think of the list.
10. The mutant toys represent An Egyptian Myth
09. Stinky Pete is a Cult Leader
08. Potato Head is a Mormon
07. The Humans are an example of Dystheism
06. The Squeeze Toy Aliens practice Totem ism
05. Lots O Huggin Bear and the Church of Satan
04. The Toys existence is a form of Animism
03. Jessie and The Backsliden Christian
02. Buzz Lightyear is in the Church of Scientology
01. Woody and Christianity