Your almost there...I think I'm starting to get the picture of how this works though. What I thought was simple, is actually a very complex maximization problem.
how ture..ifin it were easy there would be many Jimmie Johnson champions Without sliding, the friction vector of the rear tires will be pointed quite a bit more forward than toward the inside of the turn. Although kinetic friction is quite a bit less than static friction, it may be possible to get a vector with a larger component in the direction of the inside of the turn by sliding the rear and providing power to the wheels, even thought the total friction between the rear wheels and the surface will be less (because kinetic friction is less).
we will come back to this a little later , if ok with you
Add in banking, dynamic weight distribution, should be dynamic weight transfer, and aerodynamic, then you have a very complex maximization problem. yes
The only reason I can think of that explains why sliding on asphalt is often "slow," and sliding on dirt is often "fast" is because there is less difference between the sliding and kinetic friction coefficients on dirt surfaces.
lets review just what happens when we turn left( or right)..
for a given set of tires, on an asphalt track, and typical passenger car suspension, everything is ok until one of two situations occur..
the driver nails the throttle in the turn and thus causes loss of traction ( spins the tires too fast) and the momentum of the vehicle, suffering loss of rear tires sticking to the track, spins out...not to likely with todays grocery getter..or
the car enters the corner at too high a rate of speed and the front tires can not provide enough force to steer the front of the car around the corner and literally shred as the tires experience wheel lock and snow plow toward the out side of the turn...( its pushing , or suffering under steer).
Nothing is going to change the direction of the car without the use of the front wheels. To the degree the front wheels can negotiate a turn successfully depends upon many things, Static tables showing Tire coefficient of friction vs slip angle, coefficient of friction vs vertical tire load, coefficient , coefficient of friction vs percent of slip, tire force vs vertical tire load..don't mean a thing if you ca not handle the transfer of sprung weight to the right front tire in the turn.
this applies to dirt track as well as asphalt..the reason we have smaller suspension travel on asphalt cars is because the track is consistent and there are a lot less variables to contend with..those photos I posted of the 1500 pound, 800 h.p. dirt l cars coming off the turn show huge suspension droop, weight jacking, vast body roll..all to negate the varying effects of the changing dirt track.
gotta get some beer..did this help?