just my two cents as I own an insurance agency but i would fight it BUT i only am familiar with NJ. Here in NJ you can plead your ticket down to an UNSAFE OPERATION OF A MOTOR VEHICLE. Its a hefty fine but will save you the insurance surcharge which will be about $500/year for 3 years. The points when looking at it from the State DMV is nothing to really worry about. It's the insurance points that will cost you the increased insurance costs. Those points will stay on for 3 years and the increased insurance costs can be costly.
But like i said that's in NJ...i have no idea if it applies where you are.