not totally True.
So long as you do the paperwork First, you CAN cut down a shotgun. However it is then Considered a DD (destructive Device)
There is a form aviable From the Atfe that lets you Contruct a new, or modify and Exsisting One.
Some hoops, Some paymetns, and a wait time to get form back, but Totally legal.
sidenote: i really wouldnt recommend this however. While it would be nice to have a tottally accurate 'hero" weapon, its not the sort of thing id take to a convetion (or that would make it in the door at some con's). In addition i'd worry about overall safety. Theres also still legal concerns, while the Atf will most likely approve you, they've recently been getting into teh act of "checking in" from time to time, and i dont fully know the legal ramifications of mounting said shortbarreled shotgun, registered or not, to a shortbarreled Rifle (what a m1a1 with a "normal" barrel is considered)
sidenote2: also, the above does not hold true for Every State as well. Some States are More restrictive on weapons, regardless of size, so it will vary a bit, BE SURE TO READ UP FIRST!!.
Most info can be found here
http://www.atf.gov/
But of course, Google can be your friend.
edit1: yeah, i registered for the first time just to rant
