The article makes it seem like this is relegated to the past, but changing names to ones that sound less Jewish is still common. Some examples:

    Steven Jay Ross (born Steven Jay Rechnitz), CEO of Time-Warner
    Sumner Murray Redstone (born Rothstein), media magnate and chairman of CBS and Viacom
    Fred W. Friendly (born Ferdinand Friendly Wachenheimer), president of CBS News
    Lorne Michaels (born Lorne David Lipowitz), producer of Saturday Night Live, Late Night, and The Tonight Show
    Jon Stewart (born Jonathan Stuart Leibowitz), host of The Daily Show
    Larry King (born Lawrence Harvey Zeiger), host of Larry King Live
    Mel Brooks (born Melvin Kaminsky), actor
    Michael Alan Weiner (stage name Michael Savage), radio host
    Bob aka Robert Dylan (born Robert Allen Zimmerman), musician
    Woody Allen (born Allan Stewart Konigsberg), director
    Gene Simmons (born Chaim Witz), singer of Kiss
    Hedy Lamarr (born Hedwig Eva Maria Kiesler), actress
    Natalie Portman (born Natalie Hershlag), actress