Plenty of time for a RAM or Gatling gun system to take it out.
A swarm is of concern (5 < x < 10), but these are can be dealt with as well.
After that though, a ship is probably boned.
See Oztrich Boy’s reply above:
“With a subsonic cruise missile the CIWS defence has to knock it out between 4km (when the fire control can first identifty it as a threat) and 1Km (after than, even if you destroy the guidance or flight control, the “dead” bird may still make a ballistic hit) that’s about 10 seconds for a subsonic missle.
Now make the missile Mach 3. Far engagement range is the same, close engagement range moves out to 2Km. So 2/3 the engagement window at 3-4 times the speed. Time to target and hit goes down to 2 seconds.”