I tried test fitting the new wheel over a stock miata front rotor (94-97) with my wilwood caliper and found that I may be able to fit a paper in the gap between them, but don't even think about card stock, so stock miata front brakes it is.
You'll find, as I did, that small rocks and stones will get between the caliper and wheel and leave some nasty gouges in both. I even saw the same thing on a high-end Ferrari with huge brakes and calipers. Big long gouges in the wheels due to the close fit.
If it's really, really close, and there's any flex at all, or if the wheel bearing is slighly loose, it can cause the wheel to contact the caliper. I'm not sure how bad this is, but it's probably not good. Make sure there's always some clearance. From the pictures it looks like you can grind off 1/8" or so and clear up the problem before it starts.
Also, on your choice of wheels, they may be an issue with some timetrial/HPDE/trackday organizations. Some don't like the "multilug" hub, having eight holes instead of four. Obviously this is only an issue if you plan to track the car.
Midlana book: Build this mid-engine Locost!, http://www.midlana.com/
Kimini book: Designing mid-engine cars using FWD drivetrains, http://www.kimini.com/book_info/