Not that I can get super deadly, head severing edges... but...
I use ceramic rods and a small strop (4.5" x 0.75"). I find the smaller strop is easier to control with my buttery fingers. The ceramic rods are really slow to reprofile though.
My biggest problem when learning how to sharpen (still an ongoing process) was getting a correct bevel to begin with. Not being CNC'd, khukuries usually have uneven edge geometry, lumpy or wavy edges or other fine things. You can do your thing with the mousepad and have no success because you're grinding on the shoulders of the edge and not the edge itself.
Get one of thems fancy eye loupes that jewler's use (10x). It might help to be able to look at the edge every now and then.
I think the problem with the one you're trying to sharpen is that the edge is reasonably sharp with it's current bevel. You're trying to put a shallower bevel on it and only grinding away at the shoulders and never touching the actual edge.
I figure if you keep doing what you're doing, eventually you'll grind away the old shoulder and get to the edge. Then you put a burr on the thing blah blah blah. If there is an uneven bevel you may be able to get a burr on one part of the blade and not another. Again, you just have to grind down the thicker part until it is the same as the rest of the edge...
The slow working ceramic rods I used were part of the problem. It took so long to get to the actual edge, I thought I was getting nowhere.
Your milage may vary.
Of course I'd listen to everyone else first. If you're still in a state of desparation, read mine.