I wonder that too. Interesting idea, but the CISW was speedy and simple. I’m thinking the missiles and their weight, and their infrastructure in the targeting module would slow it down the smallest bit.
I’m way out of my field here, but I would think a missiles module doing its thing at a distance, and CIWS up close working simultaneously, but not together in the same turret. And both of them fully independent of the other.
I’m probably being simple minded here. But it seems like installing 20mm in the same turret as your 5” guns. Both need to do different things at the same time.
But like I said, way outta my field.
As to speed, the basic gun mount weights about the same as Phalanx (6 tonnes), Half a dozen missiles aren't going to add enough to slow it down that much.