> Sharpening a pointed stick is not evolution.
No. But evolving the intellect and ability to do so is. A dolphin may well be smart enough to figure out that a pointed stick is a useful thing... but their physical evolution has not given them the ability. A chimp might well hav ethe physical ability to make a pointed stick, but they may not be smart enough to figure it out (this is by no means certain... they are smart enough to may simple tools and use clubs in combat, so, maybe...).
> But the spear did not evolve the brain power.
Ah, but that too is uncertain. Learnign to make toold for hunting improved the protein diet of proto-humans, which allowed the brain to evolve in directions it otherwise would have been blocked from doing so due to basic nutritional issues. Another example of evolution going around barriers.
> The time lag between the spear and the brain power from a genetic mutation standpoint makes the evolution of it as a survival trait extremely improbable.
Worked stone points are very, very old. predating modern humans. Fire and stone tools are the products of at least Homo Erectus, and probably far earlier.