He should be concerned. He is already trusting a kid with a $20,000+ car. Aside from the increased possibility of roll over, teenagers are not (historically) the most responsible drivers. There is also the concern that a lift will give you the encouragement to take the car to places that increase the opportunity for damage (off-road, mud, rocks, etc) Not only does this increase the possibility of getting stuck/stranded but increases the repair bill exponentially. If you're not going to be taking the car to those types of places then why do you need a lift at all.
Sorry to have to play devil's advocate, but you should probably hear the logical arguments that your dad is thinking about when it comes to protecting his kid and investment. We all know what it is like to want, but the things you buy when you achieve the financial independence and provide them for yourself will mean more when you can make your own decisions. If he has to pay for the lift, spidertracks new tires and installation for all of it then he may be just as concerned about that bill as the potential repair bill and your safety. Out of curiosity, what do you need a lift for anyway... EDIT: Because it would be cool is not going to get you anywhere in this argument...
Go ahead flame away, it's nothing new. Logic is almost always met with an irrational, emotional rebuttal.