I don't bike in Los Angeles because I have a family to provide for and I don't think it is safe at all. I do live close to work and I walk to work, because I like to keep a small footprint from both an economic (my expenditures) and environmental perspective; but my work is moving for the 2nd time in 8 years and it is not convenient to move house to follow it.
I do wish I could bike to work but I just don't feel safe. If there was a bike lane all the way to work, I'd feel safe enough to bike it.
That might be something very difficult to rationalize away. Being an active cyclist is to be cognizant of the risks and minimize those risks (i.e. ride assertively on safe streets, use lights, etc.), while also utilizing a little cognitive dissonance.
I ride between 5,000-10,000 miles a year. I've had several crashes due to my own fault or other cyclists' faults in races. I've also been hit once and suffered a very minor broken wrist that healed in three weeks. I am pretty lucky.
Some of my friends have been in crashes with cars and they are all fine. It was scary at the moment and they got hurt, with some injuries such as a broken collarbones, but they're all still riding and healthy today.
Of course, they all LOVE riding bikes. If you don't love to ride bikes, it's tough to "get on that horse after it bucks you off," so to speak.