The two coats are very different. The tog is smooth and fairly straight, and at least twice as long as the wooly, crimpy, soft thel. Anyway, if you wanted to spin the wool with the tog and thel together, I'd suggest either a drum carder prep, or just spinning from the locks after opening them up in your fingers.
Historically, though, I think it's more likely the coats were separated, and the combs used to split the tog away from the thel, which would be used for different things. Tog yarn would be strong and smooth, but not terribly soft. I've heard that that's what was used for ship's sails, as well as ropes, etc, but it could also make great sewing thread, or in my case, warp thread. The thel, spun into a singles yarn, would be awesome for nalbinding, would full readily, and make a soft, warm, but not terribly strong yarn. For my project I've decided to use the tog as warp, and the thel as weft for a small weaving project. The fleece is probably only 2-3 pounds, so it's not going to make a ton of fabric.
Anyway. The combs make it really easy to clean most of the hay and dust out of the fleece, and it's easy to draw the tog off of the thel into nice long slivers for worsted spinning. I would guess it would be pretty easy to spin the thel from the cloud in handfuls without further processing, but it will be easier to get onto a distaff if I card it, so that's what I've been doing.
Rainy's fleece actually sort of seems to be triple-coated. The longest tog fibers are silvery gray, but there are also shorter black hair-like fibers the same length as the thel, and I've just been leaving them in there. Hopefully they won't be too prickly/itchy. Really, Rainy's fleece has a lot more thel than tog as it is, which makes sense for modern spinning uses, where the coat is usually kept all together, and that ratio would result in a softer yarn., but part of that is likely that some of the tog is shorter and mixed in with the thel.
Here's a photo of my basket, with the combs/cards. The little nests of tog sliver are on the right, and the big poofy rolags of thel are on the left. You can really see the difference in volume of the two coats here, as well as the shiny/smooth texture of the tog combined with the wooly/soft look of the thel. This silver gray would take dye very well and make a lovely color, but I like it as-is, especially the natural color vartiations, so I'm not planning to dye the finished fabric at this point.