Thinking about being president is a Walter Mitty moment for just about all of us but when you think about it, when you utter the oath that starts "why, if I were president, I'd....." and the rest of the sentence usually has to do with an issue that, in your infinite wisdom, you would want to right e.g. ".....no one would go to bed hungry" or "....I'd fix those schools"... etc.
That is a lot different from a whole bunch of people coming to you, each with a special problem, and them telling you "hey you....would you please be president because we think that you can adopt our problems as your own and do something for all of us...". Maybe that is the litmus test for wanting to be president. A person should have the inner confidence that if given the position and therefore the chance, he/she could do the job AND a whole bunch of people of desperate needs and backgrounds come to him/her and say we have thought it over and you could be the great problem solver for all of us - the proverbial logical choice.
I know Newt wants to be president - he is just vain enough and oblivious enough to, but I don't see the wide range of people coming to him to solve all the problems. My impression is that there are just a few and they all have the same problem and he has convinced himself that there are no other problems out there to be solved except for a couple.