Your hands are so sore from playing guitar (and probably your whole body is sore...) is because every time you play guitar you are stressed out by something. That stress causes our muscles to tighten... So no matter how hard your calluses get, you'll just make your hands hurt in other ways. Like pushing them to play faster for example.

The way to stop being sore while playing is to really truly relax, take the time to enjoy every moment playing, and not to feel like you're rushed in any way. If you ever feel uncomfortable like you are not making progress fast enough, then you should slow down and focus on your love for playing. If you love playing, you will improve over time faster than if you try to force it.

And if you feel like you're not making progress fast enough, you should get a good guitar teacher. :)