To quote Alan Jones' dad, "Always remember, son, safety's in yer right foot".
Throttle control is the key, though fitting an LSD and tightening up the accel ramp will help delay the onset of oversteer but it will induce more understeer, and will make the rear end more snappy when it does slide. Conversely, setting the LSD as loose as possible or running without an LSD, and then softening the rear suspension more than the front, and especially softening the rear anti roll bar, will encourage the car to harmlessly spin only its inside rear wheel when presented with too much torque. This is my preferred GT4 fix for making a snappy car more driveable. All the excess torque then simply exits through the one spinning wheel while the outer wheel simply loses drive, so the car is less inclined to oversteer. Softening the rear suspension will help in all situations, as it will allow more weight to transfer to the rear wheels under acceleration. Lengthening the lower gear ratios (1st, 2nd and maybe 3rd) will also help by reducing the torque multiplier to the wheels.
But the biggest factor in wheelspin is how you use the throttle and you should find this easier in your real car for a number of reasons:
1) Throttle pedals in real cars have a much longer travel than any computer or playstation control I've ever used, making them much easier to modulate.
2) You will be more sensitive to the car's actions because you will receive more feedback through attitude changes and chassis feedback
3) Noone drives on the road with the commitment they do in GT4, otherwise most people on this group would have squashed themselves against the scenery ages ago. So you'll be going rather more slowly everywhere, because you will be more aware of the speed you are travelling and hopefully have some sense of your own mortality as well as that of other people in your vicinity.
The catch is, though, that there are also things that can make road cars difficult to keep pointing in a straight line too, especially modified ones: All suspension and drivetrain changes I've suggested above hold true for real cars. Ergo, if you fit a very stiff and not properly sorted suspension along with your more powerful motor, you are going to find the car has more grip but is more snappy. Also, getting huge turbocharged power from a small engine usually gives turbo lag. Turbo charged cars have a soft and non linear throttle response compared to the average normally aspirated car so it is rather easy to suddenly find 100% more torque arriving at the rear wheels than there was half a second ago, and apparently without any obvious reason. I guess that's the kind of thing that familiarity eventually solves.
The biggest change with road cars, though, is the tyres. If you have progressive tyres you will find the car's responses more predictable. If you have super grippy tyres that suddenly lose much of their grip you will find the car snappy and unpredictable. Wet weather or slippery surfaces are like snappy tyres.