Since this whole flippin scenario is "farse" there really is no arguement anyone can make to this exquisit idea of yours, but I will still attempt to throw a question or two your way.
Question how #1
Since your mystery compound can absorb the energy from the laser and burn off, how long of a blast can the compound of a diety take? Is it for a one time use application and no longer good after the initial blast? I would think like most other defense systems there are counter counter measures (CCM) like a second blast or a second laser tracking the same target as a back up.
Question how #2
Most missiles have an optical seeker head on them working from heat, ir or negative uv. Will said super mystery compound cover the seeker head? If so will the compound be transparent enough to not impead the seeker head (that is not in that totally awesome ms paint pic) ? Will it block out some of the heat signals coming from the dreaded dragons?
Question how #3
With your compound from the drippings of King Midas's nut sack being heated by the exhaust of the missile, how long will it take for the compound to reach the magic temperature to make it liquid? Also with it being a liquid and traveling at speeds that most missiles travel, atleast mach 1.5 will there be no rippling in the compound to make weak spots, refering back to how #1 taking the length of a blast that it can take and making it shorter?
Let me know what the angryturtle has to say back, laters.
McLuvin Science