Wow - I don't know if only NJ is like this - but here is how things work in NJ.
You go to court and plead not guilty. Talk to the prosecutor and they will accept your plea and change it to a non-moving violation - which usually costs more than the speeding ticket. However, it prevents the points from going on your license, and your insurance. This saves you money on state surcharges - and also on raised insurance premiums. Courts do this because if they give you the speeding ticket, the locality receives money from the ticket, but the state collects the surcharges, and the insurance company collects the rest. But if the court allows you to plead to a non-moving violation, it's handled as a locality, thus the money you pay for the newly appointed violation goes directly to the locality. It's a win-win situation for them, and for you(or as near as you will get in most courts without consulting preferred legal counsel). NJ recently (actually about 5 years ago) changed the laws and added the stipulation that if you accrue a certain total of these over a limited period of time, they whack you with a heavy fine, and points. I don't recall the exact details on this - haven't been pulled over in a while. I think it's you can't get 3 in 2 years or it's a $500 fine and 6 points on your insurance. Of course, if that happens, it just means you need to pay the ticket instead of using the plea bargain.