I ran two different 1.6 NA's in my sami (an old tired one and a freshly rebuilt one), then built a custom TE04H turbo setup. Then I added propane injection. Here's my advice:
The big advantage of swapping to the 1.6NA is fuel mileage; I got in the 30MPG range on the street with 33" SSR's. Power is a litle disappointing...feels kinda like a stock 1.3. Good torque for off-road though.
The swap is fairly easy if you buy a kit from Acme Adapters
www.acmeadapters.com. I just used the bellhousing adapter and flywheel from them and built the rest...took about 18 hours total. I got my first 1.6 for free and was into the swap about $600. I sold my built (cam, wiseco pistons, ported/polished, weber) 1.3 for $500.
The time it took to build the manifolds for the turbo was huge...if you value your time at about $.10/hr it might be worth it, but I wouldn't do the same thing again if I had to.
The propane injection with the turbo was an easy project, good for about 15-20% more power and a few extra MPG (IDI engines don't benefit from propane like DI engines do).
All finished, I was probably close to 100HP with my little 1.6, but I had the pump turned way up and couldn't keep my foot on the floor for long without exceeding EGT limits.
Here's what I would do: If you're looking for killer fuel mileage and don't care about power, swap in the 1.6NA. If you want more power than your 1.3 has, find a 1.9TD (I searched for months and only found them for $1500+). If you're not set on running a diesel, I would say to go for a different swap...the 16V swap is fairly easy and common, and nets you plenty of power.