Responsive design or Adaptive? Well, Responsive design is a subset of Adaptive design concept. But anyway, if your website is Responsive, (what i will recommend), and you are facing some layout issue with Facebook Like Button or Comments, here is a CSS quick tip how to fix it!
There are several hack that you can apply on Facebook Like Button. Here we have an example with Like to Download. If you have any product for download, you might add the Like button to that page. Users that want to download your product first have to "Like" your content. Is not fair, but you can have some fans very easy.