If the problem persists, and you are playing through steam, verify the integrity of the game cache. Make sure you were not in my mods first person view on that save game when you uninstalled. It even says to do this on the nexus page, something which I also initially missed. The fix is simple: load up the save with IFPV then switch to third person view and save and quit, then remove IFPV.
The problem is that you failed one simple but crucial step before uninstalling - making sure you were not in first person view. To add onto what akselmo said, it is indeed Immersive First Person View which causes the trouble. I have tried a few first person enhancement mods and in the end disabled them all, I also installed the XP32 mod, but the problem still persists even after disabling all those mods.
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