You could use a double tap to move to the other screen, then single taps wont teleport to the next screen.
Thats what i do to stop accidental moves over to the other screen.
Doesnt stop the dual cursor though.. only clicking the desktop first does that, but having the double tap "reminds" me to click the desktop first. It is a real pain and I hope for a fix, until there is one will not be donating to the manufacturer.