Doesn't the rating system approximate this outcome well enough, though? Being able to rate a driver, and see the overall rating before I get in the car is of huge value to me as a customer. Feeling obligated to tip is a net negative for me.
In a restaurant (in the US at least) it's so expected to tip that if you tip lower than 15% for terrible service you're considered cheapskate. Even though Uber's tipping will presumably be anonymous-ish (assuming they implement it like Lyft has), I would still feel that social pressure.
If pulls a 5-star service for 499 customers and a 0-star service for a single customer (for whatever reason) his rating drops from 5 to 4.99, which doesn't seem that relevant. Unless a 0.01 drop in his rating means a loss in earnings greater than that of a lost tip, the tipping system would provide better rewards for not dropping the ball.
Forgot about the social pressure, too (I'm not American). That could be a real issue, because if people don't actually consider not tipping then it's just dead as a incentive scheme. They'd have to make tipping anonymous.
By the way, I don't think pressure under anonymous choice is "social". You could attribute it to education and thus society and some way but ... that's rather roundabout. I think the more appropriate term is "consciousness".
Granted, the rating system is no better, even if for different reasons: since Uber/Lyft will deactivate drivers if their rating falls below what I'd consider to be a fairly high value (something above 4), most people (where I live, at least) give 5 stars unless there was something seriously wrong with the ride, so a mediocre driver will get the same rating as an exemplary driver.
As for the bit on sincerity, can't say much as nowadays I just find it totally alien. People gotta live somehow, be it with others or just with ourselves. So getting hung up on the porcupine's dilemma and whether every interaction we make with another person is like a hundred tiny knifes running across their face is a great way to miss the point: sometimes their words hurt me too. But I don't show it, because I want to drop it and go back to the point.
Although I reckon this is more of a "honest" fakeness rather than the giddy fakeness which is sometimes found in customer service.