Thanks for the reply ockham!
I tried killing the smoothPolys, but it didn't work. When I model I selectively define smoothing groups and crease angles in Max to get the look I'm after. Do you know if these steps get lost in the translation over to Poser?
At least for the cylinders, I'm starting to think that the issue is with how they're "capped" in Max. I usually tesselate the caps to avoid having a 48-sided N-gon, but I'm not sure what Poser needs.