Tor M1, HQ-17, HQ-16 are all mentioned to have anti ballistic capabilities. ESSM certainly does as well. All of these are in excess of mach 4 max speed. If the geometry of the trajectory works, then intercepts are entirely possibly. The AShBM just make it hard by approaching from the top which means interceptors need to basically climb the whole time and lose energy for climb and serious turning because of the maneuvering warhead.
Engaging hypersonic missiles is more than just kinematics: you need also the radar capability (detect, discriminate, speed) and flight control software capability, something that those legacy systems lack.
Here is a cool concept video of AMDR-S (SPY-6) from LockMart defending against a combined cruise missile and ballistic missile attack (LockMart lost the competition to Raytheon) .It illustrates the critical task of target discrimination after warhead separation. SPY-6 brings new capabilities thanks to its fully digital radar architecture which where hitherto only possible with X-band AMDRs.
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