The rope's made of fiberglass. Good advice is to use gloves while handling, just like the insulation. The crap will make ya itch. Also, if you use the correct cement for this stove door gasket rope, well, it sets and cures like concrete. Use it sparingly, no more than you think it will take to keep it in place. If you get way too much on and it oozes out it can glue your two contact surfaces together. I almost did that when I re-gasketed my wood stove door 3 years ago. Be sure to heat cure the door rope cement prior to cooking, as it may be toxic (I can't remember what's in in the stuff, but probably is a nasty collection). I'd do a slow re-season of the smoker again after initial room temp cure of the cement, should be fine.
Looks like your onto makin' the good low/slow smokes there. Enjoy it.