I certainly don't let the thought of grizzly bears keep me from going there. They are there, but have never given me a problem. In fact, over the years, we have had more trouble with little black bears than with grizz.. stealing grain, pulling deer out of trees, etc. It's really just a matter of playing smart, avoiding situations that will get you in trouble, like sneaking through white bark, rolling in bacon grease, ya know.
There seems to be a lot of rhetoric about grizzlies, but most isn't true or deserving. In almost every case, whenever there is a conflict with a human, it is because the human made a mistake. I've always felt that if I gave them the respect they deserve, they return the favor on me.
Honestly though, the last thing I would do is take a dog for protection. Bears and dogs just don't mix, and trust me, nothing iritates a grizzly more than a dog, I have seen it.