When I use my left hand to control the mouse and switch the buttons so that I have click on items with the right mouse button, the drag and drop facility doesn't work.
That's strange! I just tested this and it works as expected. I changed the 'primary mouse button' to 'right' in the Windows settings.
Then it's my computer. It's a HP Laptop with touchpad and everytime I use the touchpad it's switches "pimary mouse button" to left. Annoying :-(