Honda uses mounts at the extreme ends of the drivetrain (front of the engine and the back of the transmission) to support the weight of the engine, then uses a single mount in the rear to resist the engine's torque. The SHO, as far as I can tell without looking too hard at a Taurus, seems to mount at the corners of the drivetrain with two down low near the front of the engine, attached to the subframe. To mount the engine Honda-style, the SHO would need a front timing cover strong enough to support the whole engine. Since it mounts to the sides of the block, it won't have that.
If the prospect of living life in D hasn't deterred you and the fact that the engine is bigger than the car isn't a problem, I'm hoping that the lack of any practical way to bolt the engine to the car will finally convince you that you should just drive a Taurus instead.
*Not his real city. In future, please tell us where you're from, otherwise we'll just pick a place.
Miata turbo kits are plentiful and downright cheap in comparison to engine swaps, or you can build one yourself like the one shown above. Our colleague, Ryan McKay, put this GT-series turbo kit together for about $1300 (withoutthe ECU).
The venerable CA18DET motor is old, but reasonably strong and worth keeping if your S13 already came with it.