Hey, it's a mud-phud! When the rest if the MDA picks up on this, I suspect you will get some heavy traffic - there are a lot of Primals here with people in their lives who won't even look askance at Primal/paleo without "scientific proof", and you have an in on that world.
Re the baking thing - there are a few options: eat the wheat, just in seriously restricted amounts (part of the 80%-20% allowance if you choose to use it); request that your wife get good at gluten-free; and/or seek out alternate recipes based on ground coconut or nut butters (and that kind of thing). Honestly, I think your best bet is to use all three options, depending on situation. If your wife loves the baking process, perhaps she would consider adding skills to her repertoire? You could rephrase it as such, too, and that would be no deception at all from you.
Get this: I have four daughters. Two are okay eating wheat, of which one loves baking too; one is a dairy-allergic celiac; and the last cannot tolerate neither grains nor legumes of any form. So I do use each and every form of baking, regular and alternative, myself, when it does crop up. Mostly we just eat Primal foods, but sometimes it does come up, especially at school and on holidays.
There are so many cookbooks out there for gluten-free baking that all you need to do is check your local library - you will be amazed. I even found a baking book for paleo baking using food processor home-ground unsweetened shredded coconut. And check the recipe section of this MDA - there is a lot there!
I have a mantra that I have spouted for years... "If I eat right, I feel right. If I feel right, I exercise right. If I exercise right, I think right. If I think right, I eat right..." Phil-SC