I use UberX at least once a month. I have never feared for my safety-- either from the driver him/herself or from his/her driving habits.
I'm not too impressed by the lawsuit here in San Francisco. City government has already shown that it's only interested in enforcing nonsense laws to protect political favorites. I'll actually add that to the reasons why I prefer Uber: It's faster, it's less expensive, it's safer, and it's an act of civil disobedience to protest bad law.