openshift + wordpress + git
Essentially, the new wordpress quickstart structure is geared towards people who want to use it, not develop for it. What you would need to do is to create a plain php-5.4/mysql-5.5 application, then do a git clone, load in your own WordPress installation, do the setup, then update your wp-config.php in your installation to connect to your OpenShift database using environment variables. You can get around the wp-config.php issue by using an if statement to control whether is uses one for openshift, or one for your local environment. I just created this developer version of the WordPress quickstart, give it a try and let me know how it goes: https://github.com/openshift-quickstart/openshift-wordpress-developer-quickstart