I'm not sure if what follows is correct, but here's how I understand it:
When you spin roadracing or at the dragstrip, the rears lose traction, you apply the brakes or too much steering, and since most the traction is now in the front, rather than the rear, the car swaps ends if there is any rotational inertia. The fix is not to brake or chop the throttle quickly. This takes even more weight off the rear, and makes it easier to come around on you.
But LSR racing works on different physics? Sure, you COULD spin like at the dragstrip, but that's not what's happening. I doubt anyone is slamming the brakes when the rear breaks loose, or giving full violent steering.
What happens is the air pressure is pushing very hard on the front of car. It could even be lifting it on some bodies. Any side force can make the front tires exceed their traction limit, and once the air pushes the tires even a little sideways, the car acts like a wind vane, and spins, even if try to turn into the spin (countersteer). The air is stronger than the traction at the front, so steering has no effect. Kinda like locking your brakes.
Weight would certainly help. Making sure the car doesn't generate front lift helps. More traction helps.
Weight is a two edged sword - It can make traction, but it can cause more rolling resistance, high tire and frame loading, more force in an accident, etc. It works, but has it's bad side.
Making the car not generate lift isn't always an option. Rules can limit what you can do with the body and wings.
More traction (without adding weight) can be done two ways:
a) More aggressive tires. Problem is the more aggressive the tire is, the more bite it has if you do spin, hence increasing the bite might have serious consequences.
b) Weight transfer. If you hit the brakes, the weight moves on the front tires. Try going into a corner too fast and get the front to understeer (plow). Stab the brakes hard and watch what happens. More front traction, less rear traction, and the car will follow your steering input again.
But this just my thoughts. It would dangerous to test the theory at speed. And you need lots of wind pressure to emulate the conditions.
The do make a system for this though. It's a controlled outrigger system. The instructor has 2 or 4 levers. There is a "training wheel" at each corner than can push down hydraulically, and reduce the traction of either the front, or rear, all tires, (or one tire for some systems).
It would have to be put onto something that is light, yet aerodynamic like a brick. Lots of frontal and side area. This will make 60mph testing act like it's much faster.
You could also do it ghetto, by just having a moveable weight mounted aft of the rear axle, and on the lakebed, the driver goes 60mph on bald tires, then the instructor pushes the weight aft quickly, unloading the front tires. The driver would react by gently steering into it while giving it some brake. Too much brake? Heck, you were going to spin anyhow.
If my understanding of LSR spins is correct, staying into the throttle (this works at the drags), is going to force the spin once it starts.
Or not.