Hey, I am running Mint 15 x64 (MATE GUI) with the kernel updated to 3.10.10.
I do not wish to triple-boot and I do not wish to replace Mint with Kali or BT5.
I would like the tools Kali provides, however.

If I add the repos, it seems to cause problems with the Mint (MATE) Update Manager not wanting to get updates.
apt-get update and upgrade seem to be installing and overwriting key parts of Mint. I can fix this by removing Kali repos and purging with apt-get update, upgrade, and autoremove.
This puts the recommended Mint 15 packages back on and removes Kali ones so I can try again.

Here's what I've tried today. I did some other stuff last week, but it got less far.

This is added to /etc/apt/sources.list
Code:
deb http://http.kali.org/ /kali main contrib non-free
deb http://http.kali.org/ /wheezy main contrib non-free
deb http://http.kali.org/kali kali-dev main contrib non-free
deb http://http.kali.org/kali kali-dev main/debian-installer
deb-src http://http.kali.org/kali kali-dev main contrib non-free
deb http://http.kali.org/kali kali main contrib non-free
deb http://http.kali.org/kali kali main/debian-installer
deb-src http://http.kali.org/kali kali main contrib non-free
deb http://security.kali.org/kali-security kali/updates main contrib non-free
deb-src http://security.kali.org/kali-security kali/updates main contrib non-free
Save and then
Code:
sudo -s
apt-get update
apt-get install kali-linux -yq
apt-get upgrade
kali-linux -yq is from a YouTube guide I found, but it seems to be bugging out. I'm going to try kali-linux-full (Another YouTube guide) and hope it installs dependencies this time.

But if a veteran could figure this out with me, that would be amazing.
I'm kind of wondering if I have too many sources that it doesn't need. Old ones, maybe?
Authentication key 7D8D0BF6 seems to work, however. No complaints about invalid file sources.