Getting a shop involved is always more expensive , ive gotten a few quotes in Queensland for a 1j swap for my auto 200 and expect at a minimum 10-20k. you can source the engine, trans and ecu for 5-6k (1J vvti) the rest is labour , custom fab work , wiring , tuning etc.
if you have any mechanical friends or family that have done swaps they may be able to help.
there's also a fair few videos/articles online for 1J swaps into IS 200/300 , from what ive been told the 1J fits fairly well into the bay of the IS