I could be a smart ass and tell you that a static object has no friction.
But, I know what you mean. The coefficient of friction between rubber and asphalt is not linear. This means that a warm tire has a higher coefficent of friction than a cold tire. Means it will be more difficult to break traction on a warm tire. Once traction is broken, things change drastically though, as the smoke you see is rubber burning. At this point the rubber is increased to a temperature where the coefficient of friction is greatly reduced. This is why ABS works so well, all you are doing is maintaining traction, preventing smoke, or preventing overheated rubber.
So, in short, once you break traction it becomes a totally different world, as the coeffient of friction is greatly reduced.
The reason we put wider tires on a race car, is because the bigger the contact patch, the less pressure (pressure = force/area) between the rubber and the asphalt, accordingly a heat reduction when traction is broken and the coefficient of friction decreases less, means less skidding. Mainly, less pressure between the rubber and the asphalt, means more laps out of the same tire.
Race drivers try all kinds of tricks in a corner, to get a big rubber patch on the correct wheels to increase traction, but this is due to other forces caused by inertia, which could make the rear end, or front end wash out.
For purposes of predicting stopping distance with different weights, we have to assume maximum braking, just before traction is broken.
Yawn. I use to do this stuff for a living a long time ago, no more posts, flame as much as you wish.