The hilux diff/third member is a 5 stud diff so you'll have to get that converted to 4 stud or convert the car to 5 stud.

You need to cut off and weld on the ke70's diff mounts onto the hilux housing in the same spots as they were on the corolla. This includes upper and lower trailing arms, swaybar mounts(if you plan to run one), spring perches and panhard rod mount. This means making the thing below:

The housing needs to be straightened after the new mounts are welded to it, no matter how carful the welder is.

Altezzas are A01A or A01B.

The whole swap isn't the easiest thing to do. Much easier to pay a diff shop to do it.