Alignment and Brakes: Gran Turismo Vist #1

I brought my car to Gran Turismo East here in Atlanta to have them double check my brake work and align the car. As they were checking out the brakes, they confirmed for me that the tires, although they have lots of tread, are toast. In fact the front right tire is coming apart. They didn't want to do the alignment with the old tires. So now I have to find rear tires that fit a 15 inch rim. Very tough stuff! Here is a pic of the car on their lift: