I hope this helps others as I didn't see any threads about this procedure. Thanks to Schurkey for giving me the idea to do this. I'm not the best about documenting steps on repair processes so if I missed something or if anyone else needs more info or a better explanation, please let me know.
The whole reason for me doing this project is to replace some shoddy work from a previous "repair" and to make things correct and just look better. I have a set of really nice seats from my parts car thankfully and so they will live on now in my 91 International coupe.
Overall, it's not a hard job to do but the first job of removing the headrests is not fun! Once you get past that, it's pretty easy. Just take your time so that you don't damage your fabric, plastics, or any of the internal complex components and you'll be just fine!