The car just had a alignment done and pulls to the right. The shop swapped the two front tires between each other and it stills pull to the right. They told me it was "radial pull" on the tires, meaning they are bad, but wouldn't swapping them result to pull in the other side if a tire was bad????

I checked the alignment spec, and it was in range....

 

if it was a tire pull then when they swapped the tires the car should pull in the other direction. Also make sure all of your tire psi's are good. I have seen a bad tire in the rear cause a pull. Just swap the rears side to side and see if it pulls in the opposite direction. If not you've got alignment problems or something is slightly bent