Facebook used to have options which let you specify the length and size of the login button, but those options appear missing from their configurator:
developers.facebook.com/docs/reference/plugins/login/
If you want to try the old method to see if it works, I'd suggest doing the following. In the /components/com_jfbconnect/libraries/facebook.php file, at line 316, you'll see the a line that has <fb:login-button... in it. Add the following parameters for length and size:
return '<fb:login-button v="2" size="large" length="long" ...
Leave the rest intact. Let us know how that goes. There isn't a way that I know of to extend the button to the length of the div it's in, so that the blue extends past the wording, but hopefully the length="long" will get it far enough for you.