A couple of comments: First, this is not Extrude. Extrude can only operate on planar faces or sketch profiles. You are using Press/Pull. Second, Press/Pull is not, itself, really a command - it is just kind of a meta-command that invokes other commands. In this case, the command you are really using (because you have selected a face, is Offset Faces). Personally, I am not a big fan of Press/Pull, so I tend to go directly to the commands themselves. What you have revealed is that Offset Faces as sub-invoked by Press/Pull, default to "Automatic" as the Offset Type. In this mode, you can only drag one face at a time. What Automatic Offset is trying to do is to perform upstream edits to get its effect (in this case by dragging the sketch line that produced this face). If you change the Offset Type to "New Offset", or if you just skip Press/Pull and invoke Offset Faces directly (which does not support Automatic), you can select multiple faces, then drag them all together. Here is a screencast showing a similar model working with Offset Faces:
Jeff Strater
Engineering Director