I got a ticket for Unregistered viechicle, and I got my car registered the next day, is there a way that I can persent this to the Judge and have the ticket dismissed, or down grated to just court cost ?

Did you just get the car? There is usually a grace period if you had just bought it.

Not sure about NJ, but in NY if you just show that you have registered it, even after the date of the ticket, it will be dismissed.

Be sure to show up in court with the proper paperwork and it should be dismissed.

Let me see it was not registered, so you are guilty.
Getting it registed the next day does not change the situation.

Now often the judge will lower it or dismiss it if you show you got it done. All you can do is try.