A-series motors did feature fuel injection but not in the USA. The set up is hard to come by.
There is extensive information on turbo builds on Datsun1200.com.
I've been racing an A-series powered car for 35 years. Realistically you can get a streetable NA motor to about 100hp at the wheels. A turbo motor about 130. Anything above that and they will wear out quickly. Race motors make 150-175hp but need rebuilding after 6-8hrs of run time.
As much I love the A-series motor you'd be far better served to simply install something like a L20, Z24 or KA24 out of a pick up truck. Those are easy motor swaps.
If you must have an A-series do the following: Bore the motor to 78.5mm which will take an A15 out to 1600cc, add a mild cam, install L16 valves I the head and clean up the ports. This will get you to around 90-95hp at the wheels. If you add side-draft carbs that will be good for another 10-15hp.