The "balance" of nature is a myth. Nature isn't a balance, it's a teeter-totter. When prey numbers are high, predator numbers start to rise. At some point the predator numbers become so high that the prey population collapses, with predator numbers soon to follow. You can see this on a miniature scale with the snowshoe hare and ruffed grouse. I believe the hare cycle is roughly seven years. With larger prey the cycle is more prolonged.
I remember in the seventies, when I first started hunting in Ontario, it was a rare thrill to see a deer track. Numbers were way down. The season was shortened to one week, bucks only, and by the early 80's the population started to rebound. Coyote numbers followed.
I have no interest in returning to the lean years of the 70's. I don't hunt specifically for canids, but I will shoot every one I can lay crosshairs on. And I will unabashedly say it's about removing competition and protecting the resource I wish to use myself.