LFS is a European based sim, so no you won't get NASCAR related stuff here.
Try rFactor, NR2003 or iRacing.
Asking for American stock car racing here is pointless.
The devs are smarter than That.
Gran Turismo 5 has a NASCAR championship built into it... That's out in a few months if you can't possibly wait until February to spend your disposable income on being able to drive around and around on oval tracks with slightly different banking angles and slightly different sponsors on the walls for hours a day...
However that would require owning a PS3. Therefore, in before PC>PS3>Wii>Being kicked in the face>rape.
As it stands, Live for Speed has many limitations that makes recreating a NASCAR sprint cup COT less than perfect. For example:
* No modelling of solid axle suspension (only independent options available)
* No modelling of ratcheting locking differentials (i.e. Detroit NoSpin)
* No modelling of axle wrap (and thus wheel hop)
* No modelling of configurable 'soft' bump stops
* No modelling of carburetted engines
* No modelling of bump or roll steer
* No support for asymmetric springs, dampers, caster angles or tyre dimensions
* No support for wedging the car (i.e. asymmetric ride heights)
* No support for adjustable roll centre height
* No support for aerodynamically deployed roof flaps
* No tyre blow outs, punctures, or modelling of inner liners
* No tyre compound that matches (and I've not found where to edit that information)
* Limited drafting and aerodynamic modelling
* Dubious tyre heat modelling
And that's just the car physics issues. Add to that track physics, lack of appropriate tracks, and none of the NASCAR rules and regulations, and you have something that couldn't get close to the proper experience.
Ben you look like Dale Jr, you could quite easily persuade the devs to make a nascar car in LFS
Just make your ginger hair a tad bit darker and you are Dale JR!