They look great and the removable boards will make it much easier to pull stuff out, but my concern is with that bottom screen. Your
compost will sift through it and that gap will soon fill up with all the best stuff. Further, that'll make it difficult to get in there quickly with a
hay fork and give it a turn. My hunch is that the tines of your fork will constantly snag on that wire mesh. You may want to cut a square piece of plywood and drop it into place.
To reassure your wife, rodents and critters really don't want much to do with a 150 degree compost pile, and then once it's cooked like that for a couple of days, there isn't anything for them to eat even after the pile begins to cool down.
Let us know how that works. You can always pull that mesh off the floor if it proves to be a pain in the arse.
"The rule of no realm is mine. But all worthy things that are in peril as the world now stands, these are my care. And for my part, I shall not wholly fail in my task if anything that passes through this night can still grow fairer or bear fruit and flower again in days to come. For I too am a steward. Did you not know?" Gandolf