wider tires wouldnt help at all, because the brakes (disk) press agaisnt the side of the tire causing it to stop. but locking the tires isnt much of an issue now a days thanks to abs

edit: the only way to get more contact is by bigger rotors, and if you upgrade the amount of pistons in your calipers then youll get more pressure agaisnt the tire which will really start slowing the car down. now all of this will cause a lot of heat, which is why people cross drill and slot their rotors to remove it, but im sure you knew that.

edit edit: ok i just noticed something, i do think that if you had wider tires when they locked it would stop faster, gosh i cant beleive i didnt notice that until reading it 3 times, im just tired as hell