Short range defense against supersonic missile?
It is not going to help sir, No way.
Highly impossible, but even if the gun is able to shoot the missile, the momentum of missile alone will destroy the vessel.
Short range-defense works - like Goalkeeper, so too do medium-range defenses like ESSM, the best are still long-ranged defenses like SM-6. Close-in Weapon Systems were designed to react fast to fast moving, maneuverable targets and have been proven able to down supersonic missiles.
We (the US) are transitioning to laser CIWS:
Our ESSM will suffice -
ESSM Intercept of High-Diving Threat Proves Expanded Defensive Capability
Assuming you can get past SM-6 -
Non-Standard: Navy SM-6 Kills Cruise Missiles Deep Inland « Breaking Defense - Defense industry news, analysis and commentary
The US has experience and regularly downs supersonic missiles.
GQM-163 Coyote
Specifications
Length 5.62m (18 ft 5.2 in) (without booster), 9.56m (31 ft 4.2 in) (incl. booster)
Diameter 35 cm (13.8 in), booster: 46 cm (17.99 in)
Propellant Aerojet MARC-R-282 solid-fueled ducted rocket/ramjet engine
Operational
range
>222 km (120nm) circa 445km (240nm)
Flight ceiling 60,000 feet
Flight altitude Sea-skimming: 15 feet (cruise phase), 13ft (terminal phase)
Boost time Hercules MK 70 solid-fueled rocket
Speed Mach 3.0-4.0 at 35,000-60,000ft, Mach 2.5 at 13-15ft
Hell, we even used the Russian KH-31 as a target!
MA-31
Specifications
Weight 1,300 pounds (590 kg)
Length 15 ft (4.7 m)
Diameter 14.2 inches (360 mm)
Engine Solid fuel rocket in initial stage, ramjet for rest of trajectory
Wingspan 36 inches (910 mm)
Operational
range
31 mi (50 km)
Speed Mach 3.5
MA-31 - Wikipedia, the free encyclopedia
I think we'll do just fine against Brahmos too
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ALSO!!! For those wondering why the US would need to defend against Brahmos!
Brahmos is a joint Indo-Russian project. Just because India wont use it against the US doesn't mean the Russians wont! Also, China has comparable systems - like the CX-1, so being able to defeat a Brahmos-type threat is important!
As for Pakistan, peace is still the best defense, but if that's not an option... well, they have options too
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