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Adafruit Raspberry Pi TFT Kali Linux and found (on the official Adafruit instructions page for the TFT) that their
kernel.deb files (the drivers/modules needed to run the TFT correctly) are for Raspbian only.
You could compile your own kernel using their Patchfile but Adafruit doesn't have any tutorials and don't plan to support this in any way.
To use our kernel .deb files you must be using Raspbian or derivative.
This wont work with Arch or other Linux flavors. As Raspbian is the
official OS for the Pi, that's the only Linux we will support! Others
can recompile their own kernel using our patchfile, but we have no
tutorial or support or plans for such.
As for compiling your own kernel, just search
Compile Raspberry Pi Kernel on Google. You'll get plenty of results. Here's the first one, the eLinux RPi page on the topic, to get you started.