Don't. I got both, and while the xps 13 is good gear, the 15 has been nothing but pain. The name is the only thing they got in common, and dell stayed silent on numerous issues about it.
This was my experience with a previous gen version that I was given at work too; half the hardware was different, it was hit or miss whether Linux would work with the wifi hardware you got (if they make a developer edition of the 15" though I assume that one would always come with a working chipset), it was falling apart much quicker than people with the 13" versions were, the keyboard was terrible (although the keyboard on the 13" was terrible too, but it didn't stick as much as the 15" did, though that could just be bad luck), etc.
That is rather unfortunate. I have had zero of these problems you describe with my XPS15 laptop and I have had it around 5-6 months now. I hope it will stay that way.