I'm assuming you went to mx6.com already, someone new just posted there.
If you would bother doing a search on that site, you will find that the n/a transmission is very weak. Of course it'll fit. The turbo motor is almost exactly the same as the n/a motor. Compression is higher in the n/a, and I believe the valves on the GT are heat treated or something...otherwise, basically the same motor.
However, as I pointed out, the transmission is weak in the n/a. So you'll need to get the GT transmission out of a 88-92 MX-6 or 626 GT, or 89-92 Probe GT. I'm not sure with the Probes, they had a V6 in one of the years...dunno which though, think it was 89. After getting the GT transmission, you'll find that the axles for the n/a are too small (weak as well) and you'll need new axles too. That's not all, there are write-ups on mx6.com detailing the conversion, and several have tried.
So as I said, I'd rather recommend getting a GT than converting a DX or LX. But that's up to you.
I know of a GT being sold probably sometime in January or February, hopefully cheap. I posted it on here a while ago, it's in what I'd consider bad condition. But it runs, and I imagine with some work the engine would be running well.
The 5-spd is fun to drive, even the n/a. I had one before...rides nice too.