Rusty, et al.
It seems to me that the manufacturer's recomendation that MissInformation quoted causing brake failure is due to the ffact that the larger the diameter of the tire, the greater torque advantage it has over the braking system. Kinda like the difference of using a ratchet wrench, or a breaker bar on a lug nut.
No, going to a larger tire will not affect the ABS.
However going with larger tires in the rear, and smaller ones in the front will make the ABS puke all over itself. THe abs kicks in when it notes a difference in the speed of the abs sensor from one tire to another.
Also all wheel drive vehicles will have a heart attack if you mix tire sizes. They will think that one size is slipping, and will engage the 4WD.