What do you mean exactly by mounts - cradle perhaps? Do you have an axle code for this diff from the Jap build plate?
I've a NA MKIV Supra Torsen LSD (A02B - from Nishad's rolled Supra) that I personally fitted in my Soarer with the Soarer rubber mounts (front and rear), driveshafts, tailshaft - nothing from a Supra was required to make it fit.
Now if you had the late RZ Supra diff for sale, you'd need a few Supra bits - lhs drive shaft (shorter), tailshaft (different mounting flange) and you'd need to shave the "hammerhead" diff cover to fit in the Soarer cradle.