I figured out the same problem, but I find out that from the WHM/Cpanel version 11.36+ Git is installed by default in the system and available for all the account.
You have just to create a Git's account (be sure to add remote ssh access) then in your .bashrc you add just this alias
alias git="/usr/local/cpanel/3rdparty/bin/git"
then if you type git
in the user's shell, it should just work automagically ;)
Cheers