The ST box is as mentioned a 6 speed box but it doesnt have an LSD, I believe that Quaife make one but have no idea if that i definitely true or how much it would be.
If you want a focus box with an LSD you'll need an RS focus box, though this too probably wont be cheap.
All the 1.8 and 2.0 petrol focus engines share what is essentially the same block despite some of them being badged otherwise and so the gearboxes should fit on, but may need some work to get them on. It may be worth speaking to a company called Power Engineering about ease of fitment as their turbo focus has had a few different boxes on now and is currently running an ST box.
SPUD