I am not sure if this is current information, so do your own research. If this was true, you should not go to court, because your chance of losing is pretty high. You should pay the ticket now.
http://www.randolphwolf.com/traffic-blog/nj-traffic-tickets-for-connecticut-residents/
The Connecticut DMV, however, will usually not assign points to an individual’s driving record for an out of state violation so long as the individual makes payment in full and disposes of the case. Points are only given if there is a conviction (a finding of guilty) or a bond forfeiture, after a court hearing