1jz swap has been done quite a few times
it's 1jzgte as well... not two T's lol
you need an 89+ crossmember that has the round rubber mounts.. that'll tell you if you have the right crossmember as that is the only one that 1jzs will slot in to
you need engine loom + ecu... 1jzgte.us has the wiring info on converting from yours to 1jz
good luck with the swap