Getting rid of predators that will come into your tent and eat you was a pretty good reason. And in a day when cowboys and miners and such lived in the wilderness for extended periods, getting rid of something that could kill you practically without warning was a good thing.
I'd prefer it if they weren't out there today. I don't like taking my life in my hands just to enjoy a hike in the woods. We can save the Griz genome in zoos.
I think Grizzlies have a place, and so do hunters. "I don't like taking my life in my hands just to enjoy a hike in the woods." is scaredypants wildlife management.
If you want to walk in the woods without bears, go to Central Park. If you want to walk in the woods where bears are, bring a big gun. Life isn't about eliminating all conflict with the natural world, but rather mastering it.