His inability to accept conflicting points of view, and the need to be cheered on and put on a pedestal all the time to me indicates self-doubt and inner weakness that don't pair well with an alpha personality. But: I brushed up on my psychology 101 and realized that one has nothing to do with the other. So I concede you were totally on right on that one. ;-)
As for the media topic, while 50% of the media landscape are calling him out, the other 50% are cheering him on, often even setting his agenda for him. The media is as split and partisan as the political landscape is (with a few notable exceptions on both sides). That aside: he's responding to attacks much more so than I'd think a president would. Dealing with trolls and haters, when you're arguably the most powerful men of the world, should be either ignore or role model how to deal with personal attacks with class & wit. Not bite back like an angry dog whose tail got stepped on. Wouldn't that be a much stronger and self-assured response to haters?