The overall design of the missile is shared with the older ground-launched 9K720 Iskander missile, adapted for air launching with a modified guidance section for the Kinzhal.
In Russian media the "hypersonic" feature has been highlighted as a unique feature to create an impression it is a new and advanced design (hypersonic glide and scramjet) although the Kinzhal actually uses a standard ballistic missile technology at greater speeds.
The "hypersonic" feature is shared with many older designs and does not represent any particular technological breakthrough.
It will take out a carrier.