I've been thinking about doing something like this, too, but I think there are some difficulties to be overcome.
First, unless you're just cold crashing or doing long-term cold conditioning, you're going to have to gradually lower the temperature of your fermenter from it's first-stage temperature, to its target lager temperature, right? Otherwise, I would think that the sudden drop in temp would put most of the yeast into hibernation.
So, since I have only a single temperature controller for my chest freezer, this means that I'll either have to get a second controller, or gradually lower the temperature until it reaches that of the mini-fridge's ambient internal temp. Since I think you're only supposed to lower temperature 1-2F per day, it could be ten days before I'm ready to move the fermenter, and I'm back to the original problem -- my chest freezer can't do anything else until I'm done.
Again, if you have mutliple temp controllers, this is a non-issue, but for those who have to watch their budget, it doesn't look like a mini-fridge solves much.
EDIT: From what I'm seeing in other threads, a mini fridge can't really get down to lager temps, anyway (around 45 degrees, minimum). I suppose, if you have a freezer with a temperature controller, you can use the mini fridge for your first-stage fermentation, then transfer to a chest freezer for lagering, but it seems like a mini fridge isn't a lagering solution.