Re: The WTF challenge!
They look pretty messed up, but I thought I'd throw another idea at you. It might be too late for this if you've already gone the "vice-grip smash" route.
Penetrating oil for a day or two (PBblaster or SeaFoam... not Liquid Doesn'tWrench).
If you can renew the threads with a die and if there's room enough to get two nuts on, tighten the two nuts together firmly, then use the appropriate size wrench on the bottom nut to get leverage on the stuff. If necessary, use heat at that point, too. That's how I get out stubbornly rusted exhaust manifold studs in my cars. Your threads may be too far gone, but I can't tell for certain from the pics.
Best of luck... this stuff isn't fun, and I'm sorry you're faced with this dilemma.
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"Without question, the greatest invention in the history of mankind is beer. Oh, I grant you that the wheel was also a fine invention, but the wheel does not go nearly as well with pizza." - Dave Barry