I guess everyone's experience is different.
An LSD with a shorter gear ratio will change street driving with added quickness, but an lsd on it's own won't, like dcsoff said.
The n52 isn't exactly a torque monster. I cant think of a time on dry street pavement that I ever thought "wow this car just smokes the right rear tire without even trying, I need to get rid of the one legger diff." Winter months, a different story. Autocross, of course. But regular street driving the stock rear was fine.
Again, your experience may vary.
330i ~ BMW Perf. Susp. ~ M3 Front susp ~ BMW Perf Exhaust ~ 3.38 lsd ~ SF71 Alf CSL reps ~ Pilot Super Sports ~ AA Tune ~ 335is front brakes ~ over 150,000 miles hardly broken in! WTB: e93 M3 Front Sway Bar