Just remember, ABS does in no way reduce your stopping distance, and a correctly driven, you can threshold brake a non ABS car to shorter stopping distances (and I threshold brake ABS cars when I need to get with the stopping program in a hurry).
This statement strains credulity. Do you have a citation for this?
A rolling rubber wheel on concrete has much more traction than a skidding wheel.
You are correct. A rolling wheel has much more traction than a skidding wheel. Threshold braking is applying maximum braking force, running the traction up to, but not past, impending lock up. If you lock a tire, you're not braking as effectively, and at that point, you're not on the threshold of impending lockup.
Now, threshold braking take a ton of practice, which is why most people were taught to pump the brakes (lock, unlock, lock, unlock).
ABS systems are great, but they do not decrease stopping distance, except for the untrained who will either pump the brakes, or lock the brakes. ABS's best intention isn't to reduce the stopping distance, rather it's to allow a surprised driver to brake and steer (and turning while threshold braking is not something for the uninitiated, as it requires less pressure on the brake pedal timed correctly with a steering input to not exceed available traction).
Again, spend the money on a nice high performance driving event/car control clinic and the instructors will show you how this works.
Companies like Lotus spend a lot of time on their braking systems so a keen driver can threshold brake without ABS intervention, but a panicked driver can still slam the middle pedal and not lock the brakes.
EDIT: Been looking for a link on the websites of the schools I've attended, but they mention teaching it in the course syllabus, but they don't give the full explanation online.