Most of Arizona is safe to leave your gear and ride. Most of us have the same idea that we need our gear to survive and taking that is like giving a death sentence.
I avoid remote Verde Valley areas since there is a lot of meth in that area that make people do stupid things. Just look over Craigslist for all the items they will sell for supporting their habits.
The area is the Rez. Even if you have the appropriate paperwork some of them don't care. They will happily smash your windows and take your tires. I avoid that place unless I am traveling with a Native. It may be a small percentage of hooligans but returning to a destroyed car in a remote place is a bummer.