The Japanese battleship Yamato under attack by U.S. Navy planes in the East China Sea on April 7, 1945. She sank after being hit by 10 torpedos and five bombs. (National Archives)
While I agree that todays technology does effect survivability (of many weapon platforms) there's a couple of factors that help compensate the BB.
Normally the ship would have air, surface, and subsurface escorts. I don't feel the ship would be any more vulnerable today than other USN Ships. In fact there's the arguement that it could be more survivable because of it's WWII era armor.
When I first joined the Service (don't ask how long ago), the Missouri was visiting San Diego. I visited and stood on the site where the Japanese surrender document was signed.
A couple of years later during Desert Storm I watched the Missouri and the Wisconsin on the firing line together!
Then about five years ago, while on vacation in Hawaii, I took my family to visit the "Mighty MO" at Pearl Harbor. So I'm definitely biased in favor of keeping and even reactivating them.
Modern technology works both ways... during Desert Storm BB's launched Tomahawk Cruise missles! If there's such a thing as rocket assisted artillery (there is), I'm sure there's miriads of things that could be done with the 16 inch projectiles - rocket assisted, gps guidance, you get my drift.