Is it still possible using JavaScript to get My Places data out of Maps? With the move to Fusion Tables and deprecation of the Maps Data API, I can't seem to find information on how to get this data...if it's even available in FT.
The Maps Data API was the only programmatic endpoint to accessing this dataset. However you can still export the data by selecting a map, and then clicking the KML link.
A variety of tools are available for visualizing, importing, and converting KML data in case you want to import it elsewhere.