There's no way to override the CSS from the standard Facebook -> Like Box. They intentionally prevent alterations to the output as they want the box to look consistent across all websites that use it.
With that said, you can create an instance of the SCSocialStream module, like is used in the bottom of every page of this site. The Social Stream can pull in all posts from a Facebook Page or Group, Twitter Stream or LinkedIn Company page. The social stream has separate theme files for each social network and you can apply whatever CSS you want to it. For more information, see our
Social Stream for Joomla
documentation.
It is more complex to setup, but gives you a lot more control in doing so.
I hope that helps, but if you need anything else, just let me know.
Thanks,
Alex