A fully tubbed car does drive differently than a car with a stock chassis. If you want to keep good drive ability on curvy roads then mini tub it.
I do understand the traction issues though, I have a blown 416 with a 4 gear and 18.50 Mickey Thompsons and I can still easily break them loose at 60 mph, and yes you will need to change your shorts afterwards. Although, the look in the persons eyes in the car next to you when you do it is priceless.