“To do evil, a human being must first of all believe that what he’s doing is good" - Solzhenitsyn
"...with the terrorists, you have to take out their families." - Donald Trump
“Capitalism is the astounding belief that the most wickedest of men will do the most wickedest of things for the greatest good of everyone.” John Maynard Keynes
The whole, " hearts and minds", thing is nothing more than a political catch phrase that has no value, tactically.
No, I don't think that the West should place troops on the ground to take out terrorists. Whether you send troops in or not there will always be terrorist groups, and why waste resources facing terrorists when you could be saving them for a much larger conflict.