The best example I know of this sort of thing lives in Israel and the owner is exceptionally reluctant to open the engine bay in front of a camera. He has spent a very significant amount of money on the car and it really packs a punch (but at nearly 1000bhp/tonne it ought to)
You can catch a glimpse of it here:
http://video.google.com/videoplay?docid=4039536226454557146&q=ISRAEL'S+FASTEST (starting about 10 minutes in)
That is the very top end of what has been achieved with this kind of setup. Plenty of others have tacked it from the other end on a budget with good results but to be honest a good 1.5 drives so much better than a mediochre 2.0, not just in terms of handling but straightline performance as well. With this in mind this is roughly what you will need to do:
The engine bay itself does not need any significant surgery - it was originally specified to take the 2.0 engine anyway so space is not a problem. What you do have a problem with is the lower engine mount. In effect what you will need to do is fabricate a mounting frame for the engine - you used to be able to buy one thanks to some X1/9 specialists but those companies are long gone I'm afraid.
The upper (dogbone) engine mount will be too long so you will need to fabricate a shorter item along the same lines.
Apart from that it is pretty much plain sailing in terms of fitting - the usual caveats for fabrication of exhaust and aligning the gear linkage...
The biggest problem lies in the suspension, after fitting a twin cam the car is going to handle like a pig. The balance of the car will be significantly more to the rear and the rear dampers and springs were not spec'd to handle the extra load.
With that done you will need to get the engine breathing properly in order to make any headway on performance - the later 16v engine as fitted to the early Coupe models can give you about 150bhp but the old 8v will struggle to do the same - the Abarth version out of the Strada/Ritmo will only deliver 130bhp as standard, the Beta version will only deliver 110(ish).
Sadly getting the 16v version of the engine to fit is more complicated and most have settled for the 8v.
The gearbox you want is the Montecarlo/Scorpion version as the linkage is on the right side of the housing for fitting in a mid-engined car.