Yeah, do you have same wheel rotation in Profiler and in the LFS? And notice that cars have different rotations, for example GTR has 540 and TBO (rb4, fxo, xrt) has 720.
Don't worry, the wheel isn't broken. Most of us have same problem after buying a new wheel. I attached an image of my profiler, hopefully it helps a bit. (Ps. this isn't the only way to solve the problem, but this settings made the wheel work)
Select any skin, (for example here www.life4pixel.com) save the picture to your LFS "skins" Folder in somewhere in your Documents. After finding the main LFS-folder, click on it and continue to data- and to skins folder.
Tweak:
It is mod where you can increase or decrease car's properties. (I don't know anymore about tweak, never used it).