Add a facebook button to the search/login bar in buddypress community

Hi there, I would like to add a “login with facebook” button to my search/login bar in Buddypress Community. I have Ultimate Facebook installed and functioning perfectly. I’m able to add the button through a sidebar widget, but I don’t like that the button can’t be at the login prompt above the header. Ideally, it would be really cool to have that button under the login prompt, spanning the length of it, with about 5 pixels of horizontal padding between the two. I’m not really a coder so I have no idea how to make this happen. Any help would be greatly, greatly appreciated.

EDIT: Almost forgot – the button would need to disappear for logged in users.

For visual reference, my website is