Now that they've been introduced and given a big head start on us; I believe it's gonna take all the tools to keep them in check. If these tools are legal or not will become the question at some point.
Keeping coyotes in check in livestock areas has included trapping, poisoning, snaring, cyanide capsules (getters), denning, dogging, arial gunning, bounties, hunting (both day and night), and regulations allowing "kill any way possible and shoot on site". Often, the people who are employed to excercise these tactics are doing all the above (at one time or another) on the same ranch or group of ranch/farms. These things have been used on coyotes for decades now. Even with those measures in place, coyotes have thrived and expanded their territories to now span from coast to coast.
I see absolutely no reason that the wolves will be any different. They're not much more than a big, brave, aggressive, tenacious coyote with a similar social structure and biological make up, and perhaps a little more pack oriented.