Ok, apart from Wiki...I can probably go over the video and find lots of reasons why they can't be Delta...from patches on BDUs, vehicle types, strange video sequences, etc etc. But it'll probably be time consuming...so please don't ask me to do it. But rest assured...I have a "feel" for this type of thing...and I'm pretty sure it isn't Delta.
edit:
Ok, just one...start the video...in the first ten seconds you have 2 men (1 bearded) by a BMW where their faces are shown clearly, without sunglass.
edit: Probably the guys at the beginning are contractors who wanted to make out they were in Delta...so they put themselves at the start and a mishmash of crap they found on the net (I mean...I didn't know Delta pilots flew A10s)...the only thng which is geniune, is when they went to Fort Bragg to film the sign.