No Andy Murray is still not a part of the elite group he only has one grand slam. Andy Murray is terrible on clay never won a clay ATP tour title never reached the French Open final. Murray is a step below the great Federer, Nadal, and Djokovic.
The Shanghai final proves Murray's inability to win when having match points he had 5 against Novak and blew it. Many times in Murray's career he crumbles under the pressure. At the US OPEN Murray was lucky he squeaked through and won that grand slam but he's proven he's still very inconsistent.
The reason Murray has generated a lot of press is because he's from a western nation and the western media want one of their own on top.
Murray is a solid player nobody is disputing this fact BUT he is still not as consistent as Roger Federer, Rafael Nadal, and Novak Djokovic. Murray has NEVER been number one and I doubt Murray would hold the number one ranking for long.
Murray is still a bit inconsistent he can still lose early while the top 3 are more solid.