Hardly.
There is a range regime where a single laser turret is a 99.999+% probability of kill of a missile. That range is several kilometers for a shipboard laser with a pointing accuracy of 0° 1'... commercially made home telescopes with power pointing systems often have that level of accuracy. (And that's a 3.4km range to accurately point at a 1m object... with what is a 30cm circle...). So, we need to use the smaller of diffracted circle or missile minimum Cross-section (15cm?)... so 1m/15cm=6.666, so we take and divide the range by that... about half a kilometer of assured kill.
The laser's diffraction limit is smaller than that, so...
out to about 3.5km, if the laser can track fast enough, it's accurate enough to hit a 1m target, and to 510m, a 15cm target.
Note that accuracy of about 0° 0' 5" should be readily done... high end home scopes can do that. And that's going a pointing range of 41km or so... and thus 6km is the do-not-cross line.
Also note: the HEAP round has a pen of about 41 at 14cm; 43 at 16 cm, interpolation makes the warhead at 15cm about Pen 42...
And Striker notes that it is "equivalent to", not "it is", a 15 or 25 cm tac missile.
The KE effect is profound, but it's not going to hit if the ship has a laser on PD/CIWS mode.
Oh, and published data on the CIWS is 1cm accuracy in still air at 1km. 0° 3' accuracy released data... with an autocannon.