AllCoop'dUp, not that it wouldn't hurt my feelings if it was my dog but I grew up that you either give food or become food so in that case... YES. Most definitely if it has been chasing deer and turkeys in my neck of the woods as it is highly illegal for me to house that dog because it is view as pursuing wild game, doing so with dogs in my neck of the woods is illegal, especially out of season. I can't tell you how disheartening it is for me to hear that someone will allow their "pet" to destroy wild animals like that for no apparent reason as I am sure you feed said dog, why must it kill animals????
As to the worry of the bobcat...., growing up I worked hard to get a license as as animal control specialist, I would go around in the winter and trap coons out of barns, foxes from chicken yards, and the occasional coyote. I still remember my first bobcat as they were almost unheard of in this area at the time. In my opinion the only bobcats that will some up and catch a chicken are those that are hurt, injured, sick, or have been conditioned to human presence (ie: living in the city, or being fed by people in the first place). Nearly all of the bobcats that I have had to dispose of that had created a problem had been injured in one way or another and were simply looking for and found an easy meal since they could not catch wild relatively healthy prey. I would personally find someone in the area that has experience hunting these animals and have them come over to remove it before it becomes a bigger problem.
Steve