I would've had that same reaction... In fact, I know that reaction. It has nothing to do with whether the action was right or wrong. It's just the 'better angels of our nature' rightly rebelling at what the human machine must do to survive...
Sometimes 'the right thing' is only a little less horrifying than the alternative.
Or, the best way I've heard it put (and my own personal philosophy): "Yeah, it was bad. I feel bad about doing that, but at least I'm alive to feel bad about it."
In reflection 30-40 years later I might feel bad but I'd gladly kill or destroy hundreds of thousands of enemy troops , their supporters and their industrial base if I thought it'd save the life of one American GI.............
PC isn't war, war isn't PC......get er done and reflect upon the ashes of your enemies before they do such to you and yours.
Stay Safe Chookter !!!