Having won and fought and lost many tickets, and observed plenty of these photo enforcement tickets in my time in court. You're basically done - though there is one caviat.
Your name and information was on what came in the mail, because you're on the registration and it pulled you rather than the wife - it's all done automatically. Why it chose your name over your wife is irrelevant. If you go into court to challenge it, they will clearly ask if your wife was the one driving or who that person is - you can try and lie that its not your wife, but you shouldn't. Especially since they could easily look up her information as per the DL and registration and hold you liable for lying under oath.
What you could risk doing - and will still probably result in you going to court is you could opt for trial by mail, include a check for the ticket amount as required when doing trial by mail and simply put.
I received this ticket in the mail for this violation. I am not guilty of the crime. This is proven by the fact that I was not the driver of the car. As you can see, my drivers license photo appears entirely different from the photo of the driver in the car sent to me, furthermore - the photograph appears to be that of a woman. I am clearly a man.
Include a copy of the photo provided to you and a copy of your drivers license.
You could get someone lazy that says ok, yup you're not guilty and you win. Odds are you'll still be found guilty and have to go fight it in court or pay the fine. If you lose a trial by mail, you can then fight it in court.
However - save yourself the hassel, pay the fine and move along. With that said, if you go into court - and offer to plead guilty - they will often reduce the charge.