Well, among other things there's confusion between temperature and heat. For instance, one comment was "Collisions in the LHC will generate temperatures more than 100 000 times hotter than the heart of the Sun."

That wasn't a comment, that was a direct quote from CERN. Yes yes, heat is energy, high energy levels exist, but find me a place on our planet where that temperature exists! You won't because that temperature hasn't existed since our universe was created, according to CERN.