To support regen, the Tesla behaves exactly like a single pedal golf-cart. (some go-carts do this too, which is annoying as hell because the crossover from acceleration to braking often has almost no dead-space) Obviously there is more going on here... the regen effect is adaptive to driving conditions, and the owner can adjust it's behavior quite liberally. Though I have not driven a Tesla more than a few hundred feet I have been a passenger fairly often. regen has a distinct feel to it. An experienced driver, riding shotgun, will notice it quite readily. It feels a bit like engine braking a manual transmission vehicle, but more subtle. Obviously the regen was designed to feel like this form of braking, but it does not feel quite the same, and the lack of a real ICE means you really don't hear the motoring at all. In the Tesla all you real notice is a change in the rolling noise, as the load shifts on the suspension.
Regen detects when you take your foot out of the accelerator, and how far out of the accelerator you take it. Regen is applied accordingly. It takes some getting used to because it does not feel 'normal, where 'normal' would be engine braking a ICE. It has enough dynamic rage though to avoid using the service brake until you actually desire the vehicle to come to a complete stop. It will respond to steep hills etc because it is detecting your accelerator commands through the pedal and matching that to current speed.
Applying the service brake on a Tesla is a little weird too. There is a slight lag as the brake system is assisted by a servo-motor drive, not vacuum assisted. For a fraction of a second it feels like there is going to be no assist... hard brake pedal... then it goes softer as expected during assisted braking.
The other funny thing is that Tesla S emulates automatic transmission drift. I took my foot off the brake after stopping. After about 2 seconds the car began to creep forward at about ~0.5 m/s. On 'feeling' the leading edge of a tire stop marker in the garage, it hesitated and then increased torque slightly to push against that resistance (I could hear the PWM tone shift). When the tire went over the threshold of the marker, I could feel regen holding the car back from performing an uncontrolled 'drop' into the base of the tire-stop portion of the marker. As the downward motion of the tire ceased, I touched the brake and that was it. No lurching, lugging, bouncing... smooth as silk response to the situation with as little energy dissipation as required to 'chalk' the tire.
Now mind you this was my first experience in the driver seat of a model S.... I have driven lots of different kinds of cars, trucks, heavy vans, sport cars and electric 'golf-cart' vehicles including some that are street legal (as in having a real service brake) None of them felt quite in control as much as the Tesla... And yeah it feels a little weird.
The mode selector is on the tree. So no... not a sports car feel at all. Overall the Tesla feels most like a high-end sport-ispired sedan. It doesn't feel coupe like at all.