Ballmer has said that he wanted to make the Clippers into "America's Team" but I don't see that happening unless one thing happens.
Move out of Los Angeles
As long as they're in LA, they're going to be in the shadow of the Lakers. Hate it or not, thats just the way it is. They're not going to catch up with the Lakers' legacy in the foreseeable future. Thats not to say they can't compete or win a championship in that time, but you have guys like shadows of Magic Johnson and Kareem Abdul Jabbar hanging over your heads.
Maybe look into bringing an NBA team back to Seattle, but at the same time, its that LA lifestyle that draws the fans and players to that team.