Hmmm... just looking at that list I'd suggest uninstalling the armor & weapon mods first, re-verify the game through Steam, and try your combat again.

If that works, then add the mods you removed back one at a time & test in between each addition to see if you can find the one that's borking your attack animation up.

If not, you may want to put the time into doing the more drastic suggestion I had and trying that process again but with ALL the mods.

But! Hopefully in the meantime someone else has some other more specific advice for you to try.

Good luck!