You don't have to take off any sheathing. I use a combination of push AND pull. Use the electrician's trick of pull strings and wires.
With the bars off the bike you need to get the pull device into the bars first. If there are many bends in your bars, a string with a nut on the end works well. Let gravity pull the end towards the destination hole. Then thread two pull wires through the bars, each two or three times longer than what traverses the bar path. I used some .032 safety wire the last time. Hardware stores sell mending wire.
Okay, now you have pull lines in the bars. Wire the lines to all of the bundled wires near where the sheathing starts the base. Tape all the leads into a cone with the pull wire exiting the tip of the cone. Don't make the cone bigger than the cable sheath. Honda staggered the ends so the threading lump wouldn't be too large.
The other end of the pull wire gets clamped into the bench vise or attached firmly to some stationary object with the bars and wire bundle dangle from that. Now, when you pull on the bars the wire harness will try to feed into the bar's entrance hole. With a combination of pull on the bars, push and press of the sheathing, the pull wire will draw the taped cone through the bars and out the exit hole. If you need lube, use silicone spray. Once the taped cone reaches the exit hole use alternate pull and push to "worry" the cone out the exit hole. Once the main sheath has cleared the exit hole, put the bar in the bench vise so you can have a hand near each hole to push and pull until the bar control is seated into position.
The stock Honda bars have an elongated hole at center to ease the exit of both left and right harnesses. If your bars don't have an elongated hole, lay both your cable sheaths over the exit hole before pulling and mark the total width needed. Then use a round or rat tail file on the hole so that both harnesses will fit and exit properly.
Happy pulling!