Buy a 4A-GE, and a T50 gearbox from a AE86 or AE71 corolla. Lower both into your KE55. The KE55 tailshaft should fit. Workout where you want to motor to sit, then spend 2 hours adapting/ makeing new engine mounts. Easy. Then just start connecting up all the other stuff bit by bit. It can't be that hard. Maybe you have to cut the hole for the shifter a bit further back, or use the gearshift housing from a TA22/23 Celica.
Don't bother with a AE71 crossmember or rack and pinion. Its too different and alot of trouble to change over.
(The standard KE55 leaf springs may let the diff tramp a bit. Either don't do burnouts, or make the leafs realy stiff, or get tramp rods of some sort).