Upon completing the DLC for the first time, this mode along with Survivor mode are unlocked.
In Action movie mode you are allowed to call in air strikes without removing AA guns, you have an extra weapon slot and are able to carry more ammo.
After running from the enemy helicopter,kill the two enemies by the objective with takedowns, same with the next two enemies on the way to the outpost. This gives you all four perks. Clear the outpost however you see fit. I used an airstrike to kill a majority of them and stealth killed the rest. Try to pick up an AK or find one on the way to the extraction point.
Afterwards simply run to the extraction point, avoiding objectives and roads and pressing B to slide if the detection meter appears as this breaks line of sight 9 times out of 10.
After reaching the extraction sight, take out the AA guns with remote explosives (there are some convinently placed next to the AA guns), you cant use airstrikes for this. Feel free to to take out one and the nearby morter to destroy the other. I personally struggled to hit the darn thing.
After clearing the area you are asked to pick up some documents. After picking them up there is a ladder a few meters directly west that leads into a bunker. From here, simply use the infinite airstrikes to take out enemies and your AK to take out the helicopters, aiming for the pilot.
After a short battle you are extracted by a helicopter and operate as a door gunner. Simply rain hellfire on the enemies below and the achievement is yours.