The EJ swap doesn't involve axles, unless you swap the transmission also.
It does involve an adapter plate. And the big project of wiring - you have to bring the ECU and all it's stuff along with the EJ. None of the options are cheap, or only a little work. Except if you got really lucky and found a good original turbo, at least the work / time part would be the least.
With the bypassed turbo, I'd be surprised if it passed emissions testing, if you have to deal with that. Here, the only reason it would get by is that it's old enough that they don't bother with testing any more. The last time I had to test one of my EA82 cars, only a few shops knew how, or even had the equipment.