The rule of law means that law trumps personality.
Obama has shown his attitude towards the rule of law by firing an Inspector General without following the legalities put forth in the laws that he helped write and by ignoring contract law by ensuring that the UAW received money that it wasn't due.
The Organization of American States has even kicked Honduras out of the club for following it's own rules.
In response we have this: "It is better to pay this high price... than live undignified and bow the our heads to the demands of foreign governments," said Roberto Micheletti, named caretaker president by the Honduran Congress after Zelaya's ouster
That is respect for the rule of law. Doing what is right and hard instead of doing what is convenient and easy.