In my meandering around the net, I discovered that the State of Florida has a shape file (or set of files) that define the PLSS for Florida. I see that JOSM has a plugin (OpenData) that supports shape files.
ftp://data.labins.org/PLSS_download/
I have no intention or desire to upload that to the OSM repository. It is possible to load that into a JOSM layer, to obtain various corner points and shapes ? (obviously without loading into the main editing layer)