I’m an AF Combat Arms Instructor, holding 2 AFSC‘s, one being SF. 18 years of active duty. That being said:

Some of us here are glad your such a pro on AF SF and their AFSC. You seem to be a pro on other AF AFSC’s as well.

Where to start…Security Police (SP), now called AF Security Forces (SF). SF are classified as military police (3P0X1‘s). SF includes, Combat Arms(3P051B/312SEI) & K9 (3P0X? Puppy pushers). SF conducts Law Enforcement & Force Protection for any and all military assets, up to and including Nukes. SF in general are not masters of any one skill set, but are a jack of all trades and are classified as Military Police/Light Infantry in DoD. And we play that role well. Next time you watch CNN, you might see AF strips on that troops ABU’s, we tend to look like Army currently when were running convoys and policing various pie holes around the globeJ

The AF 820 SF Group, are rare group of what boils down to as Air Force Airborne Military Police. Some of these troops are Ranger certed. Some have attended CPEC. All are jump certed. They DO jump into hostile combat zones, secure air fields(primary task), conduct combat patrol behind the wire, etc. They are highly motivated hand selected SF members…And in most instances are the experts/creame of the crop of SF.

Though I’m not a CC expert by any means—Air Force Combat Controllers…Some of what you state is true about CC’s, however:
They don’t really train with Elite Special Forces as I believe you’re implying, as THEY ARE ELITE SPECIAL FORCES. And they are ALL VERY specialized. 2 year tech school if I recall?
Every CC team has a few ground controllers??? Wow, they are ground controllers (Hence Name)!
They don’t capture air fields, that’s Rangers. Can be the SF820th(gasp) or whoever else gets tasked…
CC’s do set up and direct air field ops, direct air strikes, conduct covert strikes as a 2 man teams, but more often than not are paired with other branches to direct air traffic/strikes if I‘m not mistaken. They can be inserted by land, sea or air. They are Air Force Air Borne troops…Their training mirrors another Air Force Spec Ops field known as Para Rescue. Except they break apart at a certain point during training, one takes extensive med training and sea operations…The other directs aircraft.
AF Air Borne Red Horse sets up and builds Air Fields BTW, along with Army engineers & Navy SeaBees.…Not CC’s
You saying CC’s jump in and start digging runways is like saying SEALS Build sea ports.
From the sound of it, you’ve been jacked up one to many times by a SF member.

Some of the CC’s are also highly specialized - for instance, every CC team has a few ground controllers - basically guys trained to jump in, prepare the ground, then operate as air traffic controllers (complete with field radar) for a patch of nothing in the middle of nowhere that we just happen to want to put a much of heavy stuff on.

The Air Force Security Forces are ground forces that secure and protect Bases, Aircraft and nuclear weapons. They perform a similar job as the Army’s military police.

Some of the more elite Airmen are tasked with parachuting into unfriendly places and securing airstrips before they start shipping in the expensive equipment. For the most part they are trained by the Army and as all around BMFs.

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Wikipedia Article: http://tinyurl.com/6kxu7d