ISO most definitely does affect RAW capture.
ISO is the sensitivity of the sensor itself when it's capturing the image. Maybe with cameras of the future you can change the ISO on RAW files; but as I'm aware of, there are none with which you can change the ISO after the photo has been taken.
I'm not sure you quite understand what ISO is. It's essentially the same thing as film speed and affects how sensitive the sensor is to light. Higher ISO means higher sensitivity, thus faster shutter speeds are achievable; but the increased sensitivity will also generate more noise. The opposite for low ISO. Generally it's best to keep the ISO as low as possible unless you can't get a fast enough shutter speed with the available light or want to introduce noise for artistic reasons.
A RAW file can be called a digital negative.
It provides greater bit depth and doesn't permanently apply any post processing elements onto the picture which are made when a JPEG is created. These include contrast, sharpness, saturation and perhaps most importantly white balance.
ISO is applied at the point the image is taken, so you can't change it later in post. Much like you can't change the aperture or shutter speed.
Further reading:
http://en.wikipedia.org/wiki/Raw_image