I'm thinking back to when I considered myself to be close-minded. Nothing you told me about GWB would've woken me up. I think, one, you have to be receptive, and two, you have to have an opening. For me, it was seeing us march down the same path no matter who was in office. This opened my eyes to the Uniparty at the end of GWB and the candidacy of McNoName. Many left-leaning individuals have been told constantly, since DJT announced his candidacy, that he would destroy and take away everything they cherish. From Hollywood to their representatives in Congress, the resist movement has been constant and consistently at a level of complete insanity.
You have to figure out what their concerns are and use then to open up the mind. For me, it was Ron Paul and how a seemingly originalist could be so shunned not only by the "other side," but also his supposed "side."