The same has happened in the United Kingdom wrt deer and predators including wolves (which are locally extinct) -- a blunt instrument because we can think of no other way of protecting livestock. The result is we "have to" regularly cull thousands of animals instead of letting an ecosystem manage itself.
What would that entail? The whole of the UK has been a human managed ecosystem for centuries. Deforestation was completed about 400 years ago and the larges stand of contiguous trees is under 300 sq. mi. So many of the species that would have made up the old ecosystem are gone.
Here in Germany wolves return to many parts of the country. And there is lots of resistance. There are regular sob-stories how wolves hunted poor cuddly niece lambs and how their owners are now scarred for life and will quit their jobs.
There is financial compensation and also guidance on how to build secure fences, but the big bad wolv is scary...
If the circle of life scars somebody out of farming, that's probably for the better. Farming is hard work and any time you have livestock, you have to make hard decisions about managing them, including how to protect them from predation.
