UberX will eventually charge prices more like $0.60 per minute plus $0.20 per mile.
A rough estimate based on the distribution of miles driven is that 30% of Americans should give up their cars under these numbers. Of course, many won't because owning a car isn't purely a financial decision and humans change slowly.
Discussions and imagination move much faster than reality but the world will catch up.
Technical note: The price per hour should be (time-related depreciation)/miles + hourly wage divided by the utilization rate. Mileage should be the sum of fuel costs per mile, maintenance cost per mile, and mileage based depreciation.
Running these numbers for a driver expecting $20 per hour (Average for a Taxi driver is ~$12) with 2/3 utilization and driving a Prius yields a pricing structure of ~$0.60 per minute and ~$0.20 per mile.