Do i need LSD?

[Jaegermeister2k]

Here's my problem,i was driving with my friend in his 2000 z28,and it was raining.So all of a sudden he just stepps on it in second gear,and changes lanes,i was like what the hell?Because even though his wheels were spinning out like crazy,the car still went straight like an arrow,he's got 275 tires on there but they won't have that effect.I know when i'm in my 2000 gt mustang,and step on it in second,my rear end goes wild. So i was wondering if aftermarket limited slip differentials would help me get my wheels spinning at the same time?And also would they be able to prevent the wheels from spinning out?But not slow the car down like the traction controll that's in the car now.