This is ignoring how much more expensive it will be if the drivers are employees. I don't know how much that is, but I'd imagine in addition to those $2 it would likely add another 30% or so to the total cost (someone more knowledgeable please chime in with a better estimate). Of course that's assuming you're operating at Uber's scale (there are still overhead costs), but since prices go up you aren't, so now the prices need to go up even more!
I don't know where the equilibrium point is, I just know it's higher than what Uber is charging. My extremely hand-wavy guess is rides would need to cost around 50% more.