http://www.civilwarhome.com/liebercode.htm
It describes the code (developed by Prussian jurist Francis Lieber) used by the victorious Union to suppress armed opposition ("insurgency") in the defeated Confederacy after the end of the American Civil War. If you compare its prescriptions to those in the "modern" counterinsurgency manual you linked to, you will see why the Union succeeded where present efforts fail.
You don't go into neighborhoods, kicking in doors with guns blazing. They recently did that in Detroit to serve a warrant.
No, you start by declaring martial law and enforcing a curfew. Santa Ana's gangs are a military problem, and they demand a military solution. If you're serving warrants, you've already lost the battle.
I understand that this is off the political map. That's the point. The kinds of policies needed to successfully defeat these gangs are anathema to prevailing civil libertarian views. But civilized 4th Amendment–style liberties only work when basic conditions of law & order hold; they don't work in a war. Indeed, when applied in a war, they only make things worse. This is why the present system, which serves warrants to soldiers in the opposing army, is complicit in their crimes.