Good plan, those coils looked too small to have a usable wick running through them anyway. Usable in a dripper, maybe, but in a kanger head, I don't think so.
I rebuild kanger coils all the time. A few tricks:
When putting the coil into the head, do it without the cotton in yet, use a toothpick or drill bit to hold it up a bit, as you don't want it resting on the rubber insulator. I would suggest putting a few washers on the top lip of the coil and then feeding the coil in with the drill bit through the slots. Then put on your insulator, pulling the leg 90 degrees and then the pin. Then cut the leads sticking out. you can then pull the toothpick or drill bit out.
When putting in the cotton, lick your fingers and roll so it has a point. Cut any stragglers off or the tip of the point so it doesn't bend. Pull it through but make sure you don't feed soo much that it is a tight fit, you want some "wiggle room".
Cut the cotton to the edges of the lip of the coil base (not the slots, the lip that the washers were on). Take about half the thickness that you fed through the coil and rest it on top of the coil or you will get a gurgle. Put the chimney back on and cut the "flavor wick" to the same length of the others.
These will last you for a while, just remember DO NOT DRY BURN THESE. You can boil them and re-use them maybe once or twice, but I doubt it. I just pull the cotton out and dry burn the coils to get the soot off and re-feed the cotton in. You can probably use the same coil 3-4 times before they don't work any more.