The problem with the right wing / left wing descriptions is that people often use those terms when trying to describe libertarian / authoritarian or liberal / conservative or big government / small government or free-market / regulated market positions. Some people say a policy is right wing when they really mean it is authoritarian (government has to tell people how to run their lives, sometimes called Fascism). Others use right wing to mean conservative values whether that be social values or fiscal.
Most people in government are authoritarians no matter what other view points they have. People don't go into politics to stand on the side lines and watch the game or to be neutral referees. They want to influence the outcome of the game which means they have to use the powers of government to limit the freedom of the people.
Obama, in the last two years, could not get the House of Representatives to pass his immigration policies, his energy policies, his stimulus policies, his welfare polices, or his environmental polices so he enacted them on his own by issuing executive orders to his regulatory agencies. He also could not get many of his appointees approved by the Senate so he waited until Congress was out of session to by pass it by making what are called recess appointments. This is extremely authoritarian and fascist (don't get excited, I am not implying that Obama has Hitler's values, just his methods). Based on this you could call Obama very right wing. But his policies on using market regulation, taxes, to force one portion of population to buy food for 47 million other people and to remove work requirements for the receiving of welfare, is very liberal or left wing. But it is still authoritarian.