Someone downvoted my response. Perhaps because they think that they are not the same thing...I suggest looking at the definition of Demagog a little bit more.

"synonyms:rabble-rouser, agitator, political agitator, soapbox orator, firebrand, fomenter, provocateur"

A Demagog is someone who uses hate to bring attention to themselves. Would you call Mahatma Gandhi a demagog? Nope.