Other way around, turbo engines benefit most from a free flowing exhaust to reduce lag. On an N/A engine back pressure sacrifices low down torque to increase power at the top end. You can do clever things on an NA to produce cylinder scavenging effects but it isn't a simple job.
Turbo is the way to easy horses from small 4 cylinder Japanese stuff but the associated spool up and off boost driving slightly disadvantages them for drifting. Boost upgrade, free flow exhaust and a fuel computer with uprated AFM if it needs it. My S14 makes a cheap and easy 230hp ish with 15psi which is the only modification I've done to it so far. My other project which is a long term one is a 400hp 200sx running a proper piggyback ecu with uprated turbo, FMIC, etc, etc.
My advice is to leave the engine and set about putting a good and tuneable suspension in, coil overs, adjustable sway bars, uprated brakes, poly-bushes then get it all professionally aligned. Cars that handle well are much cooler than an out and out speed machine that feels really loose above 100mph and pulls up like a Nimitz.
