Here is a slightly more up to date study (scroll about half-way down):
FEA chapter III. tire pressure survey and test results
I don't think the tearing of the rubber off a tire actually provides more stopping force, it just means the force of the grip with the ground has exceeded the bond of the rubber to the rubber so the bond fails. If the bond could hold on longer, you'd stop faster.
@CapriRacer: Do you have a source on 10-20% sliding providing more stopping force? I'd be willing to bet that if it's true, it has more to do with the heat changing the tire's grip than the static vs. kinetic friction coefficient.
Ultimately, the mathematical model should reflect real world observation...I'm guessing with tires that model can be pretty complex. There are rarely exceptions to the laws of physics, just unaccounted for variables ;-)