Can we please not be mushy-headed and pretend that the reason that we chose military "solutions" is because they are somehow easier?
It's actually quite complex to invade several poorly-chosen nations, spending trillions in the process, stay in those nations for twice the duration of WWII, and manage to justify all of these misadventures to the public well enough to get away with it.
We didn't choose this path because it was easier. This path was chosen because we elected an Administration which had immense political and financial motivation to find excuses to make war, as often as possible for as long as possible, regardless of the alleged reasons.
For my money, it would actually be much simpler (and obviously more efficient and fruitful) to solve the admittedly complex problems surrounding what causes folks to want to become terrorists.
At the end of the day, we're all human, and we're all more or less equal in what we're capable of and in what we want. We all want a bit of happiness for ourselves and our loved ones. And I dare say that happy people don't blow themselves up.