The regulations that Uber is skirting are based on the problems caused by taxi drivers otherwise being anonymous. Since Uber can connect drivers to rides and handles payment the problems that plagued pre-regulation taxis aren't a concern in this case. We shouldn't reflexively assume that all regulation is bad, but we shouldn't reflexively assume that all regulation is good either. As with Chesterton's fence, always look at why something was created before saying whether it should continue or stop.

Injuries by uninsured drivers in places where valid insurance isn't required to drive isn't really a thing you can lay on Uber. It applies to every car on the road in those countries.