ABS does not cause accidents! The theory behind why ABS did not reduce accidents much as anticipated is threefold.
1. People driving behaviors have changed because their confidence level has increased so they are driving faster and following closer. 2. Once they are in an ABS situation, they are not steering to avoid the impact or they steer off the road and thus still crash. (The real benefit of ABS is the ability to maintain directional control of the vehicle not reduced stopping distance.) 3. A few people are still "pumping the brakes" which really increases stopping distances.
Racecars do not run ABS for lots of reasons that are not applicable to passenger cars so that is not a good comparison.
New ABS systems are much better that the early systems. Back in the late eighties early 90's, the systems were a little rough.
Quote from a NHTSA study, "...ABS seems to have a beneficial effect in preventing each crash type except for side impacts, where it is appears to be associated with a higher response rate especially for passenger cars. However, it appears to be beneficial in preventing pedestrian crashes, rollovers, run-off-road crashes and frontal crashes with another moving vehicle."
I would love to have ABS at least on the rear axle of my Bronco with an on-off switch on the dash.
For more info:
http://www-nrd.nhtsa.dot.gov/vrtc/ca/lvabs.htm#absstats
Tony