Slimjet is Google Chrome clone.
It is very fast and secure browser
There is deb. file for booth version 32-bit and 64-bit
I was nice surprised how it works and I recommend it.
you can read about it at:
http://www.slimjet.com/en/
download:
http://www.slimjet.com/en/dlpage.php
simply install it with
sudo dpkg -i {file name}
works like a charm on Kali
p.s. i did't check it on root account