Edit: Summary: Every command entered in Git produces a hanging cursor which then says \"bad input\" if anything is typed before enter is pressed. No commands produce any
Hmm perhaps you are in a directory which is not writable?
Normally you can create a directory.
mkdir test
cd test
git init
then you init an empty GIT repo in the test folder and you should see a folder named ".git" which is hidden. Perhaps you can try to build a bare repository.
git --bare init
But your problem sounds a bit strange. Du you run your command with all rights?