It all depends upon how bright the lights are at the specific track you'll be at.
There's a wide variation between the dim lighting typically found at a small, local dirt track and the lighting found at major televised races for series such as NASCAR or major drag racing circuits.
Without knowing the exposure parameters for the photo of the track at your link, it's impossible to know how bright they are by looking at a still photo (if that is even a photo rather than CGI). But even at the very wide angle pictured, the cars on the track appear to be rather blurry due to their motion during exposure.
Even at the TV tracks, I'd recommend an f/2.8 constant aperture lens rather than an f/4 that only goes to 200mm or a variable f/4.5-5.6. The 100-400mm is pretty much a daylight lens. You might squeak by with a 70-200mm f/4 if you can get very close to the action and thus not need to worry about cropping that much.
The nice thing about road tracks is that often the most photogenic moments occur in the corners when the cars are going slower than on the straights. There will usually be one or two corners that are the places drivers will attempt to 'outbrake' their opponents by going deeper into the approach to the curve before slowing down more rapidly. This causes them to exit the turn slower, but if they can skillfully block the car they've just passed exiting the turn they'll force the other car to slow as well. Try to find a spot so that you are facing the cars as they exit one of the key corners.
Also pay attention to whether they are more brightly front lit or back lit exiting the turn. If back lit, consider another corner with more favorable light at the exit.
If you get a chance, watch a few videos of races at the track to see which turns are usually the ones were positions are most often contested. Or take the opportunity to ask a person who has attended races at the track, or even ask one of the drivers if the opportunity presents itself.
There's rarely ever "enough" light when shooting night sports. It's almost always a compromise between the amount of noise you find acceptable and the amount of motion blur you can live with. Most often it's best to do whatever you need to do to keep motion blur to a minimum and then deal with/live with the noise.