Similarities between It's a Very Merry Muppet Christmas Movie and The Muppets

The basic plot outlines for the 2002 TV movie It's a Very Merry Muppet Christmas Movie and the 2011 theatrical film The Muppets are very similar on the surface: The Muppet Theater is in trouble, so the Muppets have to raise money to save it. While it is most likely a coincidence, the similarities do not end there.