Just some naming gripes, because I've been an anal retentive military geek of late.
1) The Rangers in the light armor should be called Recon Rangers, not DA. The Rangers are a DA unit at their core, however the Rangers do possess a few highly specialized units. One, or rather three, of them are the Regimental Reconnaisance Datachments. They're so good at their job that they were invited into the JSOC fold early into GWOT because of the eyes work they did for ACE and DEVGRU.
2) It's never been called Delta. When the concept for a national counter-terrorism unit was pushed forward and suggested to be placed under the aegis of the SFGs, it was tentatively called 1st Special Forces Operational Detachment - Delta. Alpha, Beta. etc are administrative designations for SF units to denote how high up the chain they are. Alpha being the basic 12-man platoon, Beta being a 12-man company C4i element, etc. Thus, Delta was used to suggest an added layer of bureaucracy. It was pointed out that such a thing wasn't smart for a black element of the white side special ops community, so SOCOM used a series of ever changing names. The most famous, and my favorite, is the Combat Applications Group, but right now they're called the Army Compartmented Element. Also, like the other two, they're a DA unit at core, but they have a really unique organizational structure.
3) The SF guys in civvie gear should really be a seperate unit. Call them ISA, Contra Spike, Gray Fox, Royal Cape, Grantor Shadow, TF Orange, etc. Hell, invent a name, but they're the super spies of JSOC. Their main focus is ELINT and HUMINT, but they have a very small DA component to follow up on intel they generate and they're every bit as good as the ACE guys and even in SOCOM they carry aura of the mountain squirell ninja.
Oh, and a gear nit. The military doesn't use black gear, at least not anymore. The only people who do that are mil-simmers without the money to buy real gear. If you want visual distinction, put ACE in US4CES (they've been using Guy Cramer's camo on their own for a long time to avoid immediate ID as an American unit), put the Rangers in Kryptek, and keep the SEALs in AOR.