You don't have to kill everyone on the way to the objective
The early game is so much more forgiving with this rule, but you don't have to kill everything you encounter. It will work for a little while, but as the difficulty spikes in later missions, you'll find it harder and harder to get away with slaughtering everything that moves. You'll need to find more efficient ways of getting to the objective, even if it means ignoring those juicy primer targets.