Hearts and Minds
A philosophy advocated by the British Army. Results have shown that this policy results in the locals resenting you less (some even like you) with the added advantage that they are less likely to blow you up. While not previously advocated by past US Commanders, such as in Vietnam, the US is coming around to the idea... slowly.
Currently the US forces have encouraged Sunni self defence militias in parts of Iraq. Admittedly they are paying them millions of dollars in brib... err... donations but it is a start.
For the origins of Hearts and Minds, see this thread