N2003 generates an incredible sense of speed without the use of wide FOV angles or motion blur style special effects, it does it by incorporating you into the experience rather than making it look like a fast videogame, in which you will never feel what the car is doing. LFS is nearly there, it has a good feel to it, let down a bit by the sounds, but it will be 'there' soon.
Using a mouse isn't ever going to make you feel part of the car, as you don't drive a car with a mouse. The only way to get a sense of speed using an artificial method of input will be through using NFSU style motion blur effects.
My advice would be to invest in a wheel and leave your monitor alone.