This is definitely vegetarian-friendly: you'll be able to enjoy some salads, sandwiches, smoothies, and desserts. When I went there the soup of the day was not vegetarian, but perhaps there are days when it is.
Vegans will have a harder time. I ordered a vegetarian sandwich without cheese or mayo on sourdough bread, which seemed to be vegan. The workers did know what "vegan" meant and were very helpful. I also had tangerine lemonade, which was quite delicious. None of the desserts was vegan, but the waitress did inform us that there <I>used</I> to be a bakery down the street that made a vegan cookie!
I was slightly perturbed that I paid $20 in cash for two veggie sandwiches and some lemonade. It tasted good, but it wasn't too filling and seemed overpriced. Considering what a small town Bisbee is, though, I consider it a success that I found anything substantive at all, and in a restaurant where the workers knew about veganism.