My idea of a good docking is nobody gets hurt. You don’t hurt your boat or someone else’s. Pretty? I don’t give a rodents behind. I do like a quiet boat except for commands and replies. I do believe in keep calm-sail on.
Hippo, this comment may lead to part of the solution. I know your history to this point is predominately in sailboats, and I really don't know much about docking a sailboat. I do know a bit about powerboats and I know that docking one can be entirely stress-free, or very stressful. One element in determining how it goes is the boat and equipment (thrusters, etc), and another element is the technique and methods of the captain.
I don't remember if your new boat has bow and stern thrusters, or just in the bow. If you don't have both, that would increase the boat's ability to maneuver in tight spots and difficult conditions. Regarding the captain, it is possible that either due to prior boat characteristics or just habit, that your standards for a slow and smooth landing are less than they could be? I know very good captains that, due to lack of patience or for whatever reason, routinely make docking more stressful than it needs to be. It may not be stressful for you because you know it is safe, but it might be that your wife finds it stressful.
I'm going to suggest that your goal should be to ease up to the dock, stop the boat completely next to the dock, and then have you or your wife calmly step off the dock to tie off the boat. If you are at the helm, your wife should be able to do nothing but watch your blind side until the boat is completely stopped at the dock. If there is a rush to grab a cleat or jump off before the boat moves away from the dock again, that creates stress for everyone.
We have lots of good conversations on TF about boat about how you can dock a single engine boat in tough weather with fenders and spring lines. I can tell you that my wife would not be boating with me if that's how we had to dock. When we started boating and then each time we moved up, she was most nervous about docking. The best investments I ever made in boating are our headsets and a boat with thrusters at both ends. Our docking is slow and very calm. She will help me watch for clearance around the boat, and knows that she isn't stepping off the boat until it is stopped at the dock. I would never ask her to even take a big step over water, much less jump off the boat. I see both by other boats on a regular basis. While certainly not necessary for everyone, the thrusters let me settle the boat against the dock and gently keep it there until she gets 2 or 3 lines on. Then I come down and we do the full dock lines together.
I know you have docked your boats a zillion times and know more about it than most, but maybe you have room to refine your standards to help keep the nerves down for everyone. One of the things I try to do when my wife is on board (which is almost all the time) is to completely stop the boat about 2-3 feet off the dock, then ease it in. That way I'm sure all momentum is off, and we both know we aren't going to contact the dock with any speed.
If you live near your boat, get a friend to go ride with you and do multiple sessions of an hour or two practicing slow speed maneuvering. This boat will react differently than other boats, and you will get to where you can put it anywhere with confidence. I'm suggesting this in addition to your extended training, which is also a good idea. With that knowledge and lots of practice, you will be better and smoother than 98% of recreational boat drivers at docking. Your wife won't have to see the occasional mistake while practicing, and maybe her stress level will be down the next time you two go on the boat together.
You've gotten a lot of good suggestions and it probably will be very soon that the whole conversation will be history. It might be even be as simple as getting back on the horse a couple times. I predict that you will both enjoy the new version of boating and will be so busy exploring that the boat damage porn will be forgotten.
Best of luck.