What VashTN told you sounds about right. I'm not taking Traffic Law, but I have a friend or two that have taken a course in it. Honestly, to win in court, you have to look at the law 50%, and reality 50%.
The law says that you must bring forth evidence to counter the evidence that the officer will bring against you. If it is you against the officer, the judge gets paid out of parking tickets, so he will naturally side with the officer. However, in some states, state law requires that defendents (YOU), present (two) seperate testimonies for it to be considered evidence on your side. The officer needs to produce only his own.
This is not so say that your mom can come in and say that you were not speeding, and you're off the hook. If you and your mom (or someone else) present your testimony in responce to the officer's testimony, you have only established "neutral speculation". This is a funny term to use in traffic law. "Neutral speculation" exists in harrassment cases when someone's character is put in question and there is an equal number of positive and negative testimonies.
Notice that right off the start, (YOU) need to produce (2), and the officer need only (1), for it to be neutral. And, even though it's called neutral, the judge will still act as the tiebreaker, and he will most likely side with the officer. The judge doesn't care, because he is doing everything by the book, that is of course until you break the tie before he can!
If it is not the case that there exists "neutral speculation", and you manage to present more evidence in your favor than the officer can, you will win the case regaurdless of what bias the judge has. Judges have to play by the rules, because if you appeal and his judgement gets reversed, it looks bad for him and he might be replaced! So he wants to have a clean record!
How can you present more evidence in your favor?
1) Win by default: If the officer does not show up to court, the judge will either give him one more chance at a later time, or let you win on default. Most likely, he will give the officer an other time to show up. Do not think that this is the same for you. Judges will NEVER give you an other time to show up, you will lose on default if you do not show up to court! (BIAS).
2) Character Testimony: Besides your mom (or friend) giving testimony on what happened that day, he/she is the only one in that room that can also give what is known as "character testimony". This is where he/she may comment on your character and convince the judge that you NEVER speed, and that your character is not such so that you ever WOULD speed with others on board. The officer cannot deny this testimony on any grounds, and you may not give your own character testimony. Since character testimony is considered ADDITIONAL evidence in your favor, you will most likely win the case even if an other officer is there.
3) Discrediting the Officer's Testimony: If you have your mom (or friend) with you, you both probably have no idea what ticket this is for, if you were actually speeding, or what you were even wearing. Guess what, if YOU don't, then there is no way in hell that the officer does! Question him on what color shirt you were wearing, what color your car was, how fast you were going, ask him if your girlfriend was sitting in the front or in the back of the car.. and then tell the judge that you don't have a girlfriend! The point of all of this is to discredit the officer's argument and testimony. What this does is, it leaves you with (2) valid testimonies and even (1) character testimony, and if successful, will leave the officer with (1) invalid or otherwise questionable testimony.
My own advice, if they offer you to pay the ticket and to get 1 point instead of 2, tell them you want to fight it! When you fight it, bring 2 other people along with you that are good at lying! When they are there, make sure they have the story strait! The judge will be working against you, and will be trying to catch your bluff. If he sees how much effort you put into this act of yours, and you use the 2nd and 3rd options, you should get away with this one..
If you can't stop the Wind, then you can't stop the Storm.