A naval war in 2050? I suspect that in 2050 mach 20 missiles are going to be the norm, not the exception, and point defense is essentially... pointless against those.
It's already inadequate against today's (~mach 5) supersonic missiles. And china has literally tens of thousands with thousands of kilometers range stationed along their coast. A navy that pokes its head out is not going to last long.
China's missile superiority in the (western pacific) region has long been a thorn in the US side, but there's little that can be done given that their territory is there, and the US can at best station some in allied territories nearby or put it on ships, which are easy targets.
So you pretty much have to keep your ships hidden at all times, but being hidden they are going to be pretty much useless except as missile platforms.