Nice analysis. I'm not sure if anyone said this already but, for me, besides the brilliant combination of words, it's the emotional implications that 5 little words can deliver. 'Change we can believe in' implies this candidate can bring hope, a new beginning, a fresh start—playing directly into people's hopes and dreams of something better. 'Country First' means nothing emotionally.
And, I totally agree with the commenter who mentioned that the inclusion of 'we' made a huge difference as well. This was they key to the campaign success.