How to load wp-login.php on front-end in wordpress?

I want to load this login page as shown below on the front page of my website when a login button is clicked and I don't want to use wp_login_form() because I want to load the social login icons that the plugin loads on the wp-login.php page.

I know it can be done using Ajax and I'm not able to achieve it because of my unfamiliarity with the language. Any help on how WordPress loads the wp-login.php page as shown in the image below?

via Chebli Mohamed