A possible 1980s Aegis refit for the Alaska class

How might retained Alaska-class large cruisers have been refitted in the 1980s?

They could have followed a distinct path from the Iowas, possibly including a full Aegis refit.

The closing question imagines the Alaska class surviving alongside the full Iowa class into the 1980s. Their modernization might have diverged because the large cruisers offered a different hull and mission basis. A full Aegis refit is one possibility. The idea is explicitly speculative, but it points toward area air defence rather than simply copying the Iowa modernization package.