What would this teams record be?

You forgot the most important part, a coach. If you get a coach that can get them to play together then that team is basically Team USA on the court and they should never lose a game. They would easily win the NBA Finals and go undefeated the whole way through so 82-0 in the regular season and 16-0 in the playoffs. If you cant get a coach to calm all those egos then they would slip up a couple of times maybe three or four losses in both the regular season and the playoffs but they would still be NBA Finals winners just because of the sheer talent at every position. 79-3 in regular season and 16-4 in the playoffs.