You have an option (somewhere in Attribute Editor, I can't remember where exactly) to display the object's pivot as a point helper...so you then just have to snap the first object's pivot to the point helper using V (vertex snap).
Looking at the example in the .obj it seems like you can just select the cylinder faces, extract them (leaving the original geometry intact and creating a new object) and then push the polygon normal outward.
You can snap to visible pivots. To display pivots: Display-> transform Display ->Rotate Pivots to toggle on and off the pivot of selected objects. Or in the Attr Editor of the transform node under Pivots->Display Rotate Pivot
My goal is to duplicate the plane around the cylinder, evenly. The plane was a cylinder with 20 sides, so duplicating the plane around the cylinder should work flawlessly with the duplicate keyboard short-cut; this may be relatively easy and I'm missing something :( :) I originally centered the pivot on the cylinder, then…