Pelle,
We did some testing today, and looked at your site. Thanks for posting to it. I'd recommend you try the following, which should hopefully remove the avatars from the Like button. In the JFBContent plugin, do the following:
1) Set the "Show Comments Like Box" to Hide
2) Configure the top-half of the Content parameters to show the Like button on the types of articles you want it on
3) Make sure, in this section, the "Show Faces" setting is Yes
The reason I think the above may work for you is that the Comment box has a built in Like button. This integrated Like button doesn't have any configuration options to it. Obviously, we wish Facebook didn't do that. By disabling the integrated Like button and enabling the separate one, you should be able to successfully disable the faces. In addition, the Like button will be specific to each article, not the page it's on (like a blog view).
Finally, regarding the recommendations module, that's based off pages that have been Liked. We'll be adding a way in the 3.2 release to let you specify what the image for each page with a Like button. This will update the image for old Likes once implemented as well. Facebook recently modified their Like buttons to pull more information from each Liked page, which is a good thing.. now we're working to implement those additions.
Hope that helps, and sorry for the delay and confusion. Good luck!