It took several days of tweaking layout files to get the data laying out the way I'd like, but I have finally gotten my résumé imported into the web-site. I started with the data that I have long had public on my LinkedIn Profile, cleaned up some ancient cut-and-paste issues that snuck into it, and added a bunch of additional descriptive text for what I've currently been doing at work.

So while LinkedIn still has a copy of my career history up, it is no longer the “source of truth” for my data. The source is back in my hands.