I want keep all my source code and documentation in one single git repository. I already have the github pages integrated into my main project and now I want to do the same
You want to add the wiki as a submodule. Same Wiki git repo connected as a remote, but within a subdirectory with its own .git dir.
git submodule add git://github.com/you/proj.wiki
In the root of your main repo to add the wiki repo as a submodule in the wiki/ dir.