Hi and welcome.
Ive just converted my 318i touring to 325i and as long as you have the donor car, it will be easy as its pretty much swapping bits over. I basically did mine in 2 days from jacking the car up on blocks to driving it down the road.
Having said that, the thing Im not sure about, is you say the Sport is an '87. Im guessing thats a Tech1 Sport, so I dont know how interchangeable the parts are between that and the facelift E30s, although I cant see why there would be a problem with it.
Im sure someone who knows more about the Tech1s will be along to give some advice.
On the upside, if you have a Tech1 Sport you will have the higher compression engine and the 3.64 LSD
You will need to change the front springs for 6cyl springs due to the extra weight, but the rest should be fine.
Im pretty sure you should have rear discs and vented front discs as its a touring and these are the same as the later 325i.
Have a look at the '318 to 325' thread in this section, as that should give you an idea of whats needed.