Umm-hmmm. . How far can an antiship missile travel in one second?
Quite a long way. The latest packages of nastiness can cover a mile in about 2 or 3 seconds. The maths are quite interesting. You are always trained to engage missile targets at the maximum effective range of your system. Lets say 6 miles for a Sea Wolf type system. To hit a Mach 3 missile at 6 miles with a Mach 2 interceptor, you would have to achieve a firing solution and launch while the target is still 16 miles away.
This raises another set of questions. If your target is a Mach 3 sea skimmer like an SS-N-27 Sizzler and you are on even an Aegis ship, it breaks the radar horizon at considerably under 16 miles, probably about 13 miles.
By the time someone in the ops room has noticed, blown his/her whistle, shouted "Zippo One! Bruiser!" its at 10 miles and closing and the maximum range at which you can engage wiith your inner layer missile system is already frighteningly close. Repeat the process with 4 Sizzlers coming from separated bearings and you can see how even a modern warship can easily be overwhelmed.
This is where, in my opinion, a T45 is a generation ahead of anything in the USN at least for now. Its radar is mounted at twice the height of the equivalent SPY/1D in an Arleigh Burke. An AB will pick up a Sizzler at an altitude of 3m at a fraction over 13 miles, A T45 will detect it at 16.6 miles. Then the AB with its clunky old semi active systems will have to assign directors to illuminate the threat (which takes time - and they might be busy dealing with other threats and not immediately available) and we are back to brown trouser mode.
A T45 on the other hand has no need to illuminate the target and so can respond much faster with M3.5 Active Aster 15 and can take down the target, this even leaves time for a second shot at any leakers. The AB is unlikely to get a second chance.
Also if the incoming threat is detected by an ASaC platform it can engage them at 35 miles plus at sea level with Aster 30. The AB has to sit twiddling its thumbs until they reach 13 miles. Semi active systems simply don't work in a high supersonic sea skimming threat environment, which is why I would take a T45 over an AB any day. It is the best AD destroyer in the world bar none. Make no mistake. I would pay for a day in the simulator.