I\'m working on a fairly large git repo with a couple of thousand (remote) branches. I am used to using auto-completion (using [TAB]) in the console (Git Bash in that case),
I'm assuming that you are using the git-completion.bash script, and that you only care about git checkout.
To accomplish this, I just changed one line in the definition of the _git_checkout () function in git-completion.bash:
< __gitcomp_nl "$(__git_refs '' $track)"
---
> __gitcomp_nl "$(__git_heads '' $track)"
My understanding is that this only affects the tab-completion action (because of its location within the * case of the switch-case statement).