I used to feel the same way but watching a flock of birds spend 30 minutes picking at every wriggling thing they see crawling in the dirt changed my perspective.
I'm a bird watcher, I go out a fair amount so I've seen a lot of predation, not just of insects but other birds and mammals. I still don't want to do needless harm to any animals, even insects. I'll still take out roaches, fire ants, flour moths, and other invasive/pest insects, but I actually feel some remorse when I kill the moths and others since I believe they do suffer by my hand even if I don't have another choice I'd make.