Actually the US is more accurately conducting "Post-regime change FID" on two fronts. My term, but it seems pretty accurate. (COIN is something that a Nation's government does to deal with its own internal insurgency.)

To add to our confusion, many think not only that we are doing COIN, but also that the recipe for COIN is one part "Defeat the Insurgent," one part "Defeat the Ideology," and two parts "Create Effective Democratic Governance."

Since we are not the cooks in this kitchen, but merely advising and assisting, we should at least start by making sure we have the right recipe:

One part "understand the populace and what the issues are (real or perceived) that makes them susceptible to ideological inspiration (tailored for taste across the nation),"

one part "help fix that part of the government that is failing to adequately address those particular issues, ensuring that the populace is allowed full self-determination, with the only caveat being that whatever system is adopted must provide that same populace with the absolute certainty that it has legitimate recourse to address any such failures in the future short of violent insurgency"

one part "ensure your own narrative for your involvement not only matches your principles and your actions, but also facilitates avoiding as much as possible the perception that you are now the source of legitimacy of this failed government, but are instead an ally of the populace representing them first, over whomever happens to be in office,"

and one part "help create a secure environment, with emphasis on host nation security capacity enabled as necessary."

Once we get out of the mode we are in and adopt a “smarter” application of power, we will probably find that we no longer need to convert the entire force to the conduct of such operations, or to create an equivalent civilian corps for the same. A small force can enable a large one if it is applying the right recipe and knows what its doing; and there are plenty of civilians looking for work right there at ground zero. No need to import many of ours.