Well generally, in psychology or therapy or communication theory (made up that term), if you say “you made me mad” is considered to be a way of avoiding responsibility, as if the person is not responsible for managing their own emotions. “I got mad when you cussed at me” or, “I got mad when you hung up the phone and did not say goodnight” puts the focus of the anger on the person who got mad, - I - got mad instead of - you made - me mad.
I suppose “it got me mad” could be some version of this, it being the same category as you made me mad. But, without hearing the speech I wouldn’t know.
Was Obama saying gun owners got him mad or gun deaths got him mad?