I have a bit of a differing opinion on the LSD. You can't just drop the LSD to 5/5/5 and truly solve the problem. With these high HP, high downforce fast race cars, optimizing the LSD becomes so much more important. You need to learn what the LSD really does in GT5. The LSD Guide Summary link in my signature below is a good thread to read. You really only need to read the opening post.
LSD on these cars are super important. LSD accel controls right/left balance of the drive wheels when you get back on the throttle. You want to set it so that both drive wheels spin at the same time. If the inside tire turns red under acceleration, then raise the accel number. If the outside tire turns red then lower the accel number. If both turn red at exactly the same time, then accel is optimized. If neither tire turns red, but the car is still spinning out, put on harder tires like race hards or sport hards. Sometimes one wheel will actually be breaking loose, but not enough to turn the tire red.
LSD Decel should be set only to help a car from spinning out while entering a corner. On most 450PP and lower street cars, I set decel to the lowest, 5. With more powerful cars (550PP to 650PP) I find that I am creaping up more in the range of 7 to 12 decel. With these LMP based race cars, some of them need more, even up to the 25 range. It all depends upon whether the car is hard to control under braking and turn in. Want more turning ability on corner entry, lower the number. Want more stability entering the corner, raise the number.
LSD Initial - This is a tricky setting and there is much debate in the tuning community on what this really does. I think that it is an engagement setting, meaning that it controls when the LSD locks and unlocks depending upon how much engine torque is applied. If you want the diff to lock quickly, run a lower number. This can also cause an unstable condition under braking as the diff also unlocks quickly. Plus, it can cause a snap loose condition as the diff locks quickly upon throttle application. I run low numbers (around 10) on 400PP to 550PP cars. When I get up around 600PP or 650P I run around 15 initial torque. On the FGT, the F1s and these LMP race cars I am finding that higher numbers are paying off more. I am in the 20 to 35 range on these race cars. It just seems to smooth out the transitions. It's a balance between stability and turning ability. If you want a more agressively turning car, lower the number and for a more stable car, raise the number.
Even after you have optimized the LSD, you may still get wheel spin in these cars, but both rear wheels will spin at the same time and it will become more predictable. I have two more suggestions. First is that it is o.k. to run TCS on these cars. I like TCS at one. Watch the throttle indicator. Part of it turns red as the TCS engages. Try to modulate your throttle input to have as little of that bar turning red as possible. This is how you will train yourself to have better throttle control. Plus, TCS at one is a little bit of a safety net, without killing too much acceleration, especially if driving with a controller.
Second suggestion is to work on the gearbox. Do the slider trick an try to make 1st and 2nd gears as low a number as possible. Move final drive to highest number, top speed to lowest number, adjust 1st and 2nd to lowest possible then space 3rd through 6th evenly. Lastly reset the final drive number to have the car almost hit the rev limiter at the end of the longest straight. Never, ever touch the top speed setting again after doing the slider trick. It will mess with the ratios. If you always use the final drive setting to attaing the rev limit at the end of the straight, you'll be in good shape.