Would these mods used for Morrowind GOTY edition with Tribunal and Bloodmoon
installed cause the save game to not work for an unmodded Morrowind GOTY edition
w/Tribunal and Bloodmoon?:

"Vibrant Morrowind v4" by Skydye
"Better Bodies" by Psychodog Studios
"Axel's sixy female walk/run animations"
"Better Clothes v1.1"
"Better Heads" by Motoki
"Darknut's Creature Textures Morrowind" by Darknut 512x512 resolution version
"Darknut's MW Armor Texures" by Darknut 512x512 resolution version
"Where Are All Birds Going?" by Abot

If so, is there a way to fix the save game to have it work on an unmodded
game?

No. Most of your mods are just texture packs. They don't affect the savegame in any way. If your savegame is damaged you can try Wrye Mash.

Thanks! I don't know anything wrong with the save game file--I was just using those mods and wondering if the save I created could be uploaded for general use. Thanks again!