[adouglas]

It got mangled in the first place because you (or whoever tried to remove the bolt) did not know that it's secured with red Loctite -- the permanent kind. It is, in effect, glued in place.

Get hold of a torch and heat the thing before attempting to remove it. That will break the Loctite bond.

Hard to tell from the photo, but if the stripped-out cavity is in reasonably good shape you can also go get an Torx bit that's slightly larger than the cavity. Hammer it in TIGHT (you're going to destroy the bit doing this, but that's okay).

If you succeed, you'll now have a hexagonal stub sticking out, firmly wedged into the damaged screw.

Now get a hand-held impact driver and a dead-blow mallet. If the Torx bit stub fits into the impact driver chuck, great. If not, fit an appropriate socket.

Use the impact driver and hammer to break the thing loose.

DO NOT just try to twist it out with a wrench or ratchet. You will fail and wind up worse off. You need to use an impact driver. Trust me.

They also make extractor kits that do pretty much the same thing. The ones you're looking for are short and stubby, not the el-cheapo screw extractors you'll find at your local home depot. Those are useless and you'll just get yourself in more trouble.