it is certainly an interesting question. We assume that all operations in the present and near term will occur with complete air superiority (as they have for the US for the past 50 years?) which doesn't create an uncontested space but truly reduces the risk of casualties.
Will that always be the case though? Let's assume a hypothetical scenario of war with China or Russia strictly for the purposes of illustration. Both have capable air forces and robust anti-air defenses. How long can other operations, including ground forces, wait before air superiority is achieved? What if it isn't in the way the US has enjoyed for the past decade in Afghanistan and Iraq?
I'm really not trying to be argumentative here, but I am actually puzzled by this question. Will the US concede to make a contested landing, and if not like D-Day or Iwo Jima with machinegun nests and bunkers (and antivehicular missiles in this day and age) then atleast with enemy air forces harrying the landing force and/or mobile ground forces launching a counteroffensive just inland? Or will the US continue the fight at arms length, surgically reducing the enemy war fighting capability and not committing anything to the ground until freedom of movement and control of the skies has been achieved, no matter how long it took?
If the answer is the first, then something survivable that can provide cheap, long-range, accurate, and devastating continuous fire on the enemy would be prudent, whether it was a battleship or not. If the second, then no you don't need battleships except for those bad summer action flicks