Grace, I hope the question is not only for psychoanalysts and Americans, because I am not either - however, here is my "unprofessional" opinion.
I think Trump is pulling the leg of many people with his apparently arrogant, at times offensive behavior. Everything he does is calculated, not impulsive, not neurotic, or what else they have tried to pin on him. That guy sees exactly the historical moment when it's right to apply a muscle, and to say it the way that many people would like to say it.
He sees that American public is tired of white glove diplomatic crap full of political cliches that fail to deliver results. Being a master businessman, he views the economy and its ails through the prism of running a business. Any business would collapse overnight if conducted by a bunch of philosophizing politicians. Something big has to be done, not just reshuffling the old deck of cards with missing all aces and tens.
His policies aside, he realizes that the only way to convey his direct and radical approach is by also acting like a man who won't listen to any b.s. You just don't do it by being another "nice" guy. If you have a strong message, make it sound strong. Take risks of sounding crazy, but make your views recognizable. Half a century back I used to be an army drill sergeant, and trust me, you don't gain any respect by being a "nice guy".
Trump is anything but "neurotic", Even when he admits his personal ambitions to be a president, he is only saying something openly that other candidates are secretly praying for, and their ego is just as inflated in their ambition. If Trump ever admits or displays any "weakness" - it's because he wants to do it. He is playing the media like David Garrett is playing violin. He just can't say or do anything "wrong", because he is all in the open, allowing himself to be vulnerable to any attacks.
Those are not characteristics of a neurotic, but a smart man who knows what he wants. A neurotic is all about defence - this guy means business.
Do I think he would be a good president? I honestly don't know how to run a country, what is involved, what qualifies a person to be a leader. I have no education to assess a candidate's ability.
Do I like Donald Trump as a person? One simple - yes.