Post-doc priorities: "Laundry list" vs. "Research trumps all"
I think this is an interesting and multi-faceted question. As a postdoc, I was very much on the laundry list side of things. I did a lot of teaching, organized events, went to plenty of conferences, helped with department service, collaborated in projects that I probably should have gotten out of months ago, started a lot of long-reaching initiatives which would not lead to any papers in the short term, wrote grant proposals, and so forth. My publication track record was good, but not nearly as good as the track record of some of my colleagues who tried harder to fend off non-publishing activities.

I think ultimately this made job searching harder, as hiring committees in virtually all research-oriented institutions put an overwhelming emphasis on published papers. However, I also feel very strongly that I am a better and more well-rounded academic now than what I would be if I had locked myself in and wrote one paper after the other. I especially feel like I am pretty well set-up to achieve my tenure requirements (which, at least in my institution, are much more well-rounded than just looking at papers alone), and the change from a postdoc to a faculty position has been rather smooth - I did not get the "shock" that some others seem to have when they suddenly need to do teaching, department service, etc.

All in all, I think a good way to see it is that the "publications-over-everything" strategy maximizes your chance to get as good a tenure-track position as possible, while the laundry list strategy trains you better for a long, well-rounded career.