We don't have a way to do that within JFBConnect. Menu items, popups and general styling for what you're looking for would be extremely difficult for us to provide in a generic way that works across sites.
In JFBConnect, we do have a few options that may interest you though:
* The JFBCSocialShare module lets you create a floating sharing bar like you can see in the bottom right of this site
* The JFBCFindUs module adds a floating Facebook Page, LinkedIn Company Page, Twitter and a few other social network "Follow" buttons which will lead the user to your social pages.
* If you find a module or plugin that can popup content for you like you're interested, you can simply add our Easy-Tags like {JFBCLike}, {JFBCFacebookPagePlugin}, etc. Those tags will be replaced with the proper social features. You can find a full listing in the Social -> Examples area in the admin area of JFBConnect.
I hope that helps,
Alex