Unless "Bing" is supposed to make us think of a dead crooner..
..then yes, it is a stupid name. Mine's the one with the googolplex dollars in the pocket, drinks on me, etc etc.
Though, oddly, if you look for "google" in OED, you also get
google, v
intr. Of the ball: to have a ‘googly’ break and swerve. Of the bowler; to bowl a googly or googlies; also (trans.), to give a googly break to (a ball). Hence {sm}googler, a googly bowler.
Anyhow, "bing", like "zune" is silly branding-consultant speak, Microsoft trying to be less corporate and be quirky is like watching a Dad Dancing competition at a family wedding.