We've been naming carriers after living people for some time, now.
Looks like all of these ships were christened while the individual was still alive: Carl Vinson, Hyman G. Rickover, Arleigh Burke, John C. Stennis, Bob Hope, Ronald Reagan, Nitze, Jimmy Carter, and George H. W. Bush.
I'm not a fan of it, myself, nor am I really a fan of naming carriers after people.
Still, they've at least managed to name the carriers after people who were either in the Navy or who had a deep impact on the Navy, like Vinson, Stennis, and Reagan.