bsorcs, keep in mind that you have to register the deuce with the Special Plates devision, in Baton Rouge. The local DMV can't do it. You have 2 choices, call and get the info needed as well as the $$$ needed and mail it in (and wait), or drive to Baton Rouge and do it in person (same day).
I have nothing in writing, however, I was told by several LEOs (LSP) that although the Deuces and CUCVs are registered as FMVs, they are in fact classified as 'historic' vehicles. Historic vehicles do NOT need inspections in LA.
I have also been through several roadblocks (State and Parish) and the only thing they want to see is Drivers License and proof of insurance, sometimes not even that!. The only issue I have had was with a local city marshal, he said that a civilian could not own a military vehicle...