I can say with confidence that I don't trust an Uber driver any more than a car/cab driver. Sure, ive been in sketch cabs and cars with intoxicated drivers or some dick who runs the meter up after you fall asleep - those are rare and I can count them on one hand.
Uber gives you the illusion of being abetter cab service while being markedly worse in some ways. Okay, you voted out a shitty driver with one star - there are a 1000 more waiting to fill that position. I've been in numerous filthy Ubers, drivers who are possibly intoxicated, drivers who got their license in a cereal box, and cars who's mechanical status is questionable (severely worn suspension, squealing brakes, etc.) You vote one out and another scurries in.
Don't get me wrong, I use Uber and Lyft mostly because its tough getting car service as many went out of business. But its no utopia and the safety and quality of the rides is not better in any way.