What if the tire is stuck on the studs?

Well, the tire shouldn't be on the studs, so by that I assume you mean the wheel. If the wheel is stuck, I would doubt that it is truly stuck to the studs given that, when the wheel is secured, it should be centered, giving very little contact between the actual wheel and the stud. A more common problem would be that the wheel is rusted directly to the drum. In this situation, I would recommend that you loosen the lugs (not fully remove, just back off a few turns), take all the weight off that wheel (jack it up), and give it a few good kicks or hits with a rubber mallet. The wheel should come free.