This question is from longe time ago. I just reply for those have the same problem.
1- copy those breaklines into clipboard by Copy With Base Point command (Ctrl+Shift+C)
2- then delete the breaklines from drawing with AutoCAD command which removes them from surface.
3- then paste the copied objects into drawing (Ctrl+V) it asks for base point, select the same bease point selected for copy.
4- these pasted objects are not breakline.