I'm running into the need to drag an drop between tables but didn't find working examples on the forum. At some point in the past I found an example of drag and drop between regular tables. Thought it would be useful so kept the link to the fiddle. I adapted the code to work with Datatable's APIs. In this example you can drag and drop between tables using the Name column.
https://jsbin.com/pogufut/edit?html,js,output
Ultimately I would like to combine this with RowReorder to allow for pairing rows between two tables and moving the rows between the two tables. Guess I have more work ahead of me 
If I get this working I'll post an update.
Let me know if there are suggestions for improvements.
Kevin