If your car is an '86 then I assume that it's an NA. It will have the W58 transmission, which will not work for the R154 that comes connected to the 1JZ. If you had an R154 already, then it would work fine.
You will also have a 4.300:1 differential. If you're in the States, then it's probably an open differential as well. (If your car is a Canadian model, or your have the "sport package" then you would have a limited slip differential.)
I don't know about interchangeability if your car is an automatic, but I'd assume that it would not work.